Topological Methods in Nonlinear Analysis

Papers
(The TQCC of Topological Methods in Nonlinear Analysis is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)
ArticleCitations
Existence and multiplicity of normalized solutions to lower critical Choquard equation with kinds of bounded potentials7
A family of distal functions and multipliers for strict ergodicity7
Periodic solutions of fractional Laplace equations: Least period, axial symmetry and limit5
Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps4
Controllability analysis of damped elastic systems using sequence method4
On determining the homological Conley index of Poincaré maps in autonomous systems3
A note on positive solutions of Lichnerowicz equations involving the $\Delta_\lambda$-Laplacian3
Monotonicity of eigenvalues of the fractional $p$-Laplacian with singular weights3
On Conley theory for generalized Gutierrez-Sotomayor flows3
Role of partial functionals in the study of variational systems2
Minimizing travelling waves for the one-dimensional nonlinear Schrödinger equations with non-zero condition at infinity2
Symmetry-breaking bifurcations for free boundary problems modeling tumor growth2
Fixed point theory on Banach spheres2
Rescaled-expansive flows: unstable sets and topological entropy2
Dynamical system describing cloud of particles in relativistic and non-relativistic framework2
Directed topological complexity of poset-stratified spaces2
Balanced capacities2
Andrzej Granas (1929-2019)2
Common fixed points in Chebyshev center for a semigroup of isometry mappings2
Strategies to annihilate coincidences of maps from two-complexes into the circle1
The relative cup-length in local Morse cohomology1
Multiplicity of solutions to critical p-Laplace equations involving a Hardy potential1
Semiclassical solutions for fractional logarithmic Schrödinger equations with potentials unbounded below1
An accelerated variant of the projection based parallel hybrid algorithm for split null point problems1
Topological entropy of diagonal maps on inverse limit spaces1
Lusternik-Schnirelmann theory to topological complexity from $A_{\infty}$-view point1
Neumann-type boundary value problem associated with Hamiltonian systems1
On split equality monotone variational inclusion and fixed point problems in reflexive Banach spaces1
Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two1
On a class of Hausdorff measure of cartesian product sets in metric spaces1
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations1
Sign-changing solutions for a critical exponential problem with competing potentials1
Fixed point theorems for continuous single-valued and upper semicontinuous set-valued mappings in $p$-vector and locally $p$-convex spaces1
On multipolynomial extensions of Kahae-Salem-Zygmund inequality and applications1
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values1
On radial solutions for some elliptic equations involving operators with unbounded coefficients in exterior domains1
Summing multilinear operators and sequence classes1
The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms1
On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation1
On infinite systems of nonlinear integral equations in two variables in Banach Space $BC(\mathbb{R_+}\times \mathbb{R_+},c_0$)1
Existence and regularity of positive solutions of a degenerate fourth order elliptic problem1
Existence and multiplicity of sign-changing solutions for a Schrödinger-Bopp-Podolsky system1
Fixed points of $G$-monotone mappings in metric and modular spaces1
On the relative category in the brake orbits problem1
Fourth-order elliptic problems involving concave-superlinear nonlinearities1
G-category versus orbifold category1
Existence of positive solutions in the space of Hölder functions for a class of nonlinear fractional differential equations with integral boundary conditions1
A note on nonautonomous Schrödinger equations with inhomogeneous nonlinearities1
A fixed point theorem for nonself nonlinear contractions in length spaces1
Sequential parametrized topological complexity of group epimorphisms1
Borsuk-Ulam theorems for elementary abelian 2-groups1
Σ-shaped bifurcation curves influenced by nonlinear boundary conditions for classes of reaction diffusion systems1
A direct proof of existence of weak solutions to elliptic problems1
Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds1
Concentrating solutions for a class of indefinite Schrödinger-Poisson systems with doubly critical growth1
Reeb graphs of circle-valued functions: A survey and basic facts1
Lyapunov exponents and the absolute continuity of intermediate foliations of special Anosov endomorphisms on T^d1
Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients1
On solutions vanishing at infinity of infinite systems of quadratic Urysohn integral equations1
Periodic solutions to non-autonomous predator-prey systems with multiple and time-dependent delays1
Measures of noncompactness in Köthe spaces1
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces1
Lift factors for the Nielsen root theory on $n$-valued maps1
Explicit models of ℓ_1-preduals and the weak* fixed point property in ℓ_10
Three positive solutions for the indefinite fractional Schrödinger-Poisson systems0
Characterizations of distality via weak equicontinuity on compact Hausdorff spaces0
Sufficient and necessary conditions for the existence of positive solutions with finite energy for elliptic systems in exterior domains0
Multiple solutions of nonlinear Neumann inclusions0
Parametrised topological complexity of group epimorphisms0
Gromov-Hausdorff stability for semilinear systems with large diffusion0
Normalized solutions to a class of Choquard-type equations with potential0
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle - part 20
Fan-hemicontinuity for the gradient of the norm in several reflexive Banach spaces0
Strong surjections from two-complexes with trivial top-cohomology onto nonorientable surfaces0
Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments0
Analysis of the Hopf bifurcation in a Diffusive Gierer-Meinhardt Model0
New fixed point results for nonlinear Feng-Liu contractions with applications0
Existence of a fixed point and stability results for contractive mappings on metric spaces with graphs0
Hilbert and Poincaré problems for semi-linear equations in rectifiable domains0
Bifurcation of solutions of $U(1)$-equivariant semilinear boundary value problems0
Periodic solutions of singular Duffing equations under one-sided Lipschitz condition0
A study on approximate controllability of evolution systems with nonlocal conditions0
Topological complexity of $S^3/Q_8$ as fibrewise L-S category0
Regularization methods for solving the split feasibility problem with multiple output sets in Hilbert spaces0
Kazimierz Goebel (1940-2022)0
$\alpha$-$(h,e)$-convex operators and applications for Riemann-Liouville fractional differential equations0
On the critical $p$-Kirchhoff equation0
Topologizing Sperner's lemma0
The fixed point set of the inverse involution on a Lie group0
Some generalized nonexpansive mappings and weak normal structure0
A non-linear stable non-Gaussian process in fractional time0
Existence results for fractional Brezis-Nirenberg type problems in unbounded domains0
Remarks on the continuity of convex functions in geodesic spaces0
On the degenerate Arnold conjecture on T^{2m} x CP^n0
BMO and Dirichlet problem for semi-linear equations in the plane0
Absolute normalized norms in R^2 and Heinz means constant0
The regularized free fall II. Homology computation via heat flow0
An estimation of the Banach-Mazur distance between the space of convergent sequences and a concrete model of a space of affine continuous functions0
Convergence and well-posedness properties of uniformly locally contractive mappings0
Nonlocal elliptic systems of N-Kirchhoff type with exponential growth0
Strong Nielsen equivalence on the punctured disc0
p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions0
Sign-changing multi-bump solutions for Choquard equation with deepening potential well0
Flexibility of generalized entropy for wandering dynamics0
A class of singular $k_i$-Hessian systems0
Normalized solutions to a non-variational Schrödinger system0
Existence of positive solutions for generalized fractional Brézis-Nirenberg problem0
Proper topological complexity0
Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space0
Multiple mixed interior and boundary peaks synchronized solutions for linearly coupled Schrödinger systems0
Relative sectional number and the coincidence property0
Milnor attractors and period incrementing on pattern iterations of flat top tent maps0
Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion0
Short proofs of Cambern's 1968 theorem and its generalizations applicable to fixed point theory0
Coincidence theorems for finite topological spaces0
Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^80
Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity0
Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets0
The existence of multiple topologically distinct solutions to $\sigma_{2,p}$-energy0
LS-category and topological complexity of Milnor manifolds and corresponding generalized projective product spaces0
Multiple nodal solutions for a critical nonlinear Choquard equation0
A class of double phase problem without Ambrosetti-Rabinowitz-type growth condition: infinitely many solutions0
A priori bounds and existence of positive solutions for fractional Kirchhoff equations0
The kernel space of linear operator for a class of Grushin equation0
Envy-free division via configuration spaces0
Halpern-type proximal point algorithm in CAT(0) spaces0
On a weighted problem of p-biharmonic type in the unit ball of R^N with exponential growth non linearity0
Corrigendum to "Retracting a ball in $\ell_1$ onto its simple spherical cap" (Topol. Methods Nonlinear Anal. 63 (2024), no.1, 115-129)0
Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system0
A characterization of the family of iterated nonexpansive mappings under every renorming0
Realization of rotation vectors for volume preserving homeomorphisms of the torus0
Modular version of Goebel-Kirk theorem0
Maps of degree one, LS category and higher topological complexities0
Fixed point theorems in partially ordered topological spaces with applications0
Mild solutions to a class of nonlinear second order evolution equations0
Eigenvalues of a third order BVP subject to functional BCs0
On a critical Hamiltonian system with Neumann boundary conditions0
Multiplicity of 2-nodal solutions of the Yamabe equation0
Existence of nontrivial solutions to Schrödinger systems with linear and nonlinear couplings via Morse theory0
Gutierrez-Sotomayor flows on singular surfaces0
A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents0
Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity0
Existence of solutions for the Brezis-Nirenberg problem0
Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach0
Existence of ground state solutions for the nonlinear elliptic equations with zero mass on lattice graphs0
Construction of solutions to a nonlinear critical elliptic system via local Pohozaev identities0
Positive ground state solutions of the critical nonlinear Schrödinger system with the harmonic potentials for the cooperative case0
Periodic points of self-maps of products of lens spaces $L(3)\times L(3)$0
A note on local minimizers of energy on complete manifolds0
Equilibria of vortex type Hamiltonians on closed surfaces0
Sectional category of maps related to finite spaces0
Optimal control, well-posedness and sensitivity analysis for a class of generalized evolutionary systems0
Existence of saddle-type solutions for a class of quasilinear problems in R^20
A Borel linear subspace of R^\omega that cannot be covered by countably many closed Haar-meager sets0
Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities0
Ground state solutions for a critical fractional Laplacian equation in unbounded domains: existence and regularity0
$L^p$- Exact controllability of abstract differential inclusion with nonlocal condition0
Some existence results for nonresonant difference equations on infinite intervals subject to nonlocal boundary conditions0
Compactness in normed spaces: a unified approach through semi-norms0
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems0
The Reidemeister and the Nielsen numbers: growth rate, asymptotic behavior, dynamical zeta functions and the Gauss congruences0
Infinitely many small bouncing solutions of Hill's type impact oscillators nearby the origin0
A noniterative reconstruction method for the inverse potential problem for a time-fractional diffusion equation0
Minimizers of L^2-critical inhomogeneous variational problems with a spatially decaying nonlinearity in bounded domains0
Ground states of biharmonic equations on lattice graphs0
Characterizing Lipschitz images of injective metric spaces0
Existence of multiple radial solutions for nonlinear equation involving the mean curvature operator in the Lorentz-Minkowski space0
Characterization of the algebraic difference of special affine Cantor sets0
Existence and uniqueness of a renormalized solution to fractional elliptic inclusions with $L^1$-data0
Fractional Schrödinger-Poisson system with singularity and critical growth0
Brézis-Kato type regularity results for higher order elliptic operators0
The Banach-Mazur distance between C(Δ) and C_0(Δ) equals 20
Improved bounds for fractional integrals in generalized locally convex spaces and applications0
Hopf bifurcation and stability analysis for a delayed equation with φ-Laplacian0
Infinitely many positive solutions for a double phase problems involving the double phase operator0
On the fractional-in-time Keller-Segel model via Sonine kernels0
Conley index theory for Gutierrez-Sotomayor flows on singular 3-manifolds0
Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth0
New notion of measure-theoretic entropy for multivalued maps satisfying variational principle0
A word on Professor Kazimierz Goebel (1940-2022)0
Weakly nonlinear hyperbolic differential equation of the second order in Hilbert space0
Partial minimization over the Nehari set and applications to elliptic equations0
Multiple cylindrically symmetric solutions of nonlinear Maxwell equations0
Well-ordered and non-well-ordered lower and upper solutions for periodic 2N-dimensional systems0
On the monotonicity of non-local perimeter of convex bodies0
Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth0
Levitin-Polyak Well-posedness by perturbations for bilevel mixed vector variational inequalities0
Lower bounds for admissible values of the travelling wave speed in asymmetrically supported beam0
Embeddability of joins and products of polyhedra0
Pohožaev-type ground state solutions for Choquard equation with singular potential and critical exponent0
Structure of the set of fixed points of uniformly Lipschitzian semigroups in CAT(0) spaces0
Existence results for semi-linear differential equations with nonlocal boundary value conditions0
Sectional category à la Quillen0
A fixed point index approach to a third order nonlocal boundary value problem0
A measure differential inclusion with time-dependent maximal monotone operators0
Reverse Faber-Krahn inequalities for Zaremba problems0
Uniqueness of solutions for boundary value problems for nonlinear fractional differential equations0
Existence of solutions for the $(p,N)$-Laplacian equation with logarithmic and critical exponential nonlinearities0
Local Morrey estimate in Musielak-Orlicz-Sobolev space0
Bi-spatial random attractor for stochastic FitzHugh-Nagumo systems on unbounded thin domain0
Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type0
Some notes on the topological pressure of non-autonomous systems0
Fixed point results for convex orbital nonexpansive type mappings0
Mountain pass solutions for an entire semipositone problem involving the Grushin subelliptic operator0
Minimal flow morsification subject to level set control: a combinatorial approach0
On a class of weighted anisotropic p-Laplace equation with singular nonlinearity0
Corrigendum to "Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system" (Topol. Methods Nonlinear Anal. 61 (2023), no.1, 527-547)0
The concentration behavior of ground states solution for a Schrödinger system of Hamiltonian type0
Normalized solutions to p-Laplacian equation: Sobolev critical case0
Periodic solutions for impulsive differential inclusions with state dependent impulses0
A two-phase free boundary problem involving exponential operator0
Topological degree for some parabolic equations with Riemann-Liouville time-fractional derivatives0
Multiplicity of positive solutions for a Kirchhoff type problem without asymptotic conditions0
A classification of semi-equivelar gems of PL d-manifolds on the surface with Euler characteristic -10
Existence of positive solution for a class of quasilinear Schrödinger equations with potential vanishing at infinity on nonreflexive Orlicz-Sobolev spaces0
Analyzing multifiltering functions using multiparameter Discrete Morse Theory0
Topological complexity of oriented Grassmann manifolds0
Note on homoclinic solutions to nonautonomous Hamiltonian systems with sign-changing nonlinear part0
Normalized solutions for the Schrödinger-Poisson system with doubly critical growth0
Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent0
Rank-two solenoidal endomorphisms0
Existence of eigenvalues for anisotropic and fractional anisotropic problems via Ljusternik-Schnirelmann Theory0
Critical Kirchhoff-type equation with singular potential0
On the $S$-asymptotically $\omega$-periodic mild solutions for multi-term time fractional measure differential equations0
Local and nonlocal problems for fractional impulsive evolution systems with order $\nu\in(1,2)$0
Higher topological type semiclassical states for fractional nonlinear elliptic equations0
On the operator of center of distances between the spaces of closed subsets of the real line0
Affine-periodic solutions for generalized ODEs and other equations0
Retracting a ball in $\ell_1$ onto its simple spherical cap0
Two novel golden ratio algorithms for quasimonotone variational inequalities0
On first and second-order perturbed differential inclusions governed by maximal monotone operators0
A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth0
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators0
Global multiplicity for parametric anisotropic Neumann (p,q)-equations0
Multiple solutions for perturbed quasilinear elliptic problems0
Topology and dynamics of a flow that has a non-saddle set or a W-set0
Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces0
Critical points of a mean field type functional on a closed Riemann surface0
On Halpern-type sequences with applications in Hadamard spaces0
Positive solution of quasilinear elliptic equations in $\mathbb{R}^N$ with a bounded quasilinearity0
Fixed point indices and fixed words at infinity of selfmaps of graphs II0
Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations0
A borderline analysis of the Nehari manifold method for concave-convex system0
Realization of a graph as the Reeb graph of a height function on an embedded surface0
Concentrating solutions for an anisotropic planar elliptic Neumann problem with Hardy-Hénon weight and large exponent0
Deformational symmetries of smooth functions on non-orientable surfaces0
On the critical exponents for a fractional diffusion-wave equation with a nonlinear memory term in a bounded domain0
Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term0
Liouville type theorems for Kirchhoff sub-elliptic equations involving $\Delta_\lambda$-operators0
Parametrized topological complexity of sphere bundles0
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