Topological Methods in Nonlinear Analysis

Papers
(The median citation count 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Existence and multiplicity of normalized solutions to lower critical Choquard equation with kinds of bounded potentials8
A family of distal functions and multipliers for strict ergodicity7
On Conley theory for generalized Gutierrez-Sotomayor flows5
Periodic solutions of fractional Laplace equations: Least period, axial symmetry and limit5
Monotonicity of eigenvalues of the fractional $p$-Laplacian with singular weights4
Second-order boundary estimates for large positive solutions to an elliptic system of competitive type4
Componentwise localization of critical points for functionals defined on product spaces4
Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations4
Rate of convergence of global attractors for some perturbed reaction-diffusion equations under smooth perturbations of the domain4
Proper $k$-ball-contractive mappings in $C_b^m[0, + \infty)$3
On determining the homological Conley index of Poincaré maps in autonomous systems3
Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps3
A note on positive solutions of Lichnerowicz equations involving the $\Delta_\lambda$-Laplacian3
Andrzej Granas (1929-2019)3
Rescaled-expansive flows: unstable sets and topological entropy2
Balanced capacities2
Periodic solutions of superlinear and sublinear state-dependent discontinuous differential equations2
The homotopy classification of proper Fredholm maps of index one2
Fixed point theorems for continuous single-valued and upper semicontinuous set-valued mappings in $p$-vector and locally $p$-convex spaces2
Fixed point theory on Banach spheres2
Common fixed points in Chebyshev center for a semigroup of isometry mappings2
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces2
G-category versus orbifold category2
Role of partial functionals in the study of variational systems2
Symmetry-breaking bifurcations for free boundary problems modeling tumor growth2
A note on nonautonomous Schrödinger equations with inhomogeneous nonlinearities2
Existence of positive solutions in the space of Hölder functions for a class of nonlinear fractional differential equations with integral boundary conditions2
On a class of Hausdorff measure of cartesian product sets in metric spaces2
Periodic solutions for systems of functional-differential semilinear equations at resonance1
Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space1
Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two1
Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations1
Neumann-type boundary value problem associated with Hamiltonian systems1
Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth1
Fixed points of $G$-monotone mappings in metric and modular spaces1
Topological entropy of diagonal maps on inverse limit spaces1
A direct proof of existence of weak solutions to elliptic problems1
Strategies to annihilate coincidences of maps from two-complexes into the circle1
Lusternik-Schnirelmann theory to topological complexity from $A_{\infty}$-view point1
The relative cup-length in local Morse cohomology1
On the relative category in the brake orbits problem1
Existence and multiplicity of sign-changing solutions for a Schrödinger-Bopp-Podolsky system1
Existence and regularity of positive solutions of a degenerate fourth order elliptic problem1
On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation1
Existence results for fractional Brezis-Nirenberg type problems in unbounded domains1
On infinite systems of nonlinear integral equations in two variables in Banach Space $BC(\mathbb{R_+}\times \mathbb{R_+},c_0$)1
Critical points of a mean field type functional on a closed Riemann surface1
Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients1
The existence of multiple topologically distinct solutions to $\sigma_{2,p}$-energy1
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations1
Positive solutions of Neumann boundary value problems and applications to logistic type population models1
Lift factors for the Nielsen root theory on $n$-valued maps1
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
Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds1
Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations1
Borsuk-Ulam theorems for elementary abelian 2-groups1
On solutions vanishing at infinity of infinite systems of quadratic Urysohn integral equations1
Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients1
On radial solutions for some elliptic equations involving operators with unbounded coefficients in exterior domains1
The existence of constrained minimizers related to fractional $p$-Laplacian equations1
A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth1
Fourth-order elliptic problems involving concave-superlinear nonlinearities1
Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term1
Reeb graphs of circle-valued functions: A survey and basic facts1
Multiple cylindrically symmetric solutions of nonlinear Maxwell equations1
A fixed point theorem for nonself nonlinear contractions in length spaces1
The Borsuk-Ulam property for maps from the product of two surfaces into a surface1
Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type1
Summing multilinear operators and sequence classes1
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values1
Multiplicity of solutions to critical p-Laplace equations involving a Hardy potential1
On split equality monotone variational inclusion and fixed point problems in reflexive Banach spaces1
Some bifurcation results and multiple solutions for the $p$-Laplacian equation1
The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms1
Geometric analysis of quadratic differential systems with invariant ellipses1
Sign-changing multi-bump solutions for Choquard equation with deepening potential well1
Existence of solutions for the Brezis-Nirenberg problem0
Well-ordered and non-well-ordered lower and upper solutions for periodic 2N-dimensional systems0
Milnor attractors and period incrementing on pattern iterations of flat top tent maps0
Gutierrez-Sotomayor flows on singular surfaces0
Equilibria of vortex type Hamiltonians on closed surfaces0
Critical Kirchhoff-type equation with singular potential0
Topological complexity of $S^3/Q_8$ as fibrewise L-S category0
Strong Nielsen equivalence on the punctured disc0
On the operator of center of distances between the spaces of closed subsets of the real line0
On the Choquard equations under the effect of a general nonlinear term0
Asymptotic autonomy of bi-spatial attractors for stochastic retarded Navier-Stokes equations0
Characterization of the algebraic difference of special affine Cantor sets0
Local and nonlocal problems for fractional impulsive evolution systems with order $\nu\in(1,2)$0
Retracting a ball in $\ell_1$ onto its simple spherical cap0
Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity0
On a class of polynomial differential systems of degree 4: phase portraits and limit cycles0
Orbital Lipschitzian mappings and semigroup actions on metric spaces0
Infinitely many positive solutions for a double phase problems involving the double phase operator0
Normalized solutions for the Schrödinger-Poisson system with doubly critical growth0
On global bifurcation for the nonlinear Steklov problems0
Normal forms of parabolic logarithmic transseries0
Existence of saddle-type solutions for a class of quasilinear problems in R^20
Solutions to indefinite weakly coupled cooperative elliptic systems0
Topologizing Sperner's lemma0
Realization of a graph as the Reeb graph of a height function on an embedded surface0
Normalized solutions for nonlinear fractional Kirchhoff type systems0
Explicit models of ℓ_1-preduals and the weak* fixed point property in ℓ_10
Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces0
Normalized solutions to p-Laplacian equation: Sobolev critical case0
A class of singular $k_i$-Hessian systems0
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle - part 20
Gromov-Hausdorff stability for semilinear systems with large diffusion0
Conley index theory for Gutierrez-Sotomayor flows on singular 3-manifolds0
Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent0
Global multiplicity for parametric anisotropic Neumann (p,q)-equations0
Existence of solutions for the $(p,N)$-Laplacian equation with logarithmic and critical exponential nonlinearities0
Hopf bifurcation in a diffusive predator-prey model with a square-root singularity0
Topological stability and shadowing of dynamical systems from measure theoretical viewpoint0
On a class of Kirchhoff-Choquard equations involving variable-order fractional $p(\cdot)$-Laplacian and without Ambrosetti-Rabinowitz type condition0
A non-linear stable non-Gaussian process in fractional time0
Parametrised topological complexity of group epimorphisms0
On Caristi fixed point theorem for set-valued mappings0
BMO and Dirichlet problem for semi-linear equations in the plane0
On a class of weighted anisotropic p-Laplace equation with singular nonlinearity0
Absolute normalized norms in R^2 and Heinz means constant0
On the critical exponents for a fractional diffusion-wave equation with a nonlinear memory term in a bounded domain0
Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments0
Regularization methods for solving the split feasibility problem with multiple output sets in Hilbert spaces0
A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents0
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators0
Existence of a fixed point and stability results for contractive mappings on metric spaces with graphs0
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems0
Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth0
Affine-periodic solutions for generalized ODEs and other equations0
A Borel linear subspace of R^\omega that cannot be covered by countably many closed Haar-meager sets0
Halpern-type proximal point algorithm in CAT(0) spaces0
The fixed point set of the inverse involution on a Lie group0
Existence of positive solutions for generalized fractional Brézis-Nirenberg problem0
Mild solutions to a class of nonlinear second order evolution equations0
Bifurcation of solutions of $U(1)$-equivariant semilinear boundary value problems0
Coincidence theorems for finite topological spaces0
A classical approach for the $p$-Laplacian in oscillating thin domains0
Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators0
Analysis of the Hopf bifurcation in a Diffusive Gierer-Meinhardt Model0
Existence of positive solution for a class of quasilinear Schrödinger equations with potential vanishing at infinity on nonreflexive Orlicz-Sobolev spaces0
Minimizers of L^2-critical inhomogeneous variational problems with a spatially decaying nonlinearity in bounded domains0
Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type0
Bisection of measures on spheres and a fixed point theorem0
Multiple solutions of nonlinear Neumann inclusions0
Fixed point results for convex orbital nonexpansive type mappings0
On the fractional-in-time Keller-Segel model via Sonine kernels0
A characterization of nonautonomous attractors via Stone-Čech compactification0
Bi-spatial random attractor for stochastic FitzHugh-Nagumo systems on unbounded thin domain0
Normalized solutions to a non-variational Schrödinger system0
Weakly nonlinear hyperbolic differential equation of the second order in Hilbert space0
Convergence and well-posedness properties of uniformly locally contractive mappings0
Ground state solution for a class of supercritical Hénon equation with variable exponent0
Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions0
Equilibrium under uncertainty with fuzzy payoff0
A characterization of $g_2$-minimal normal 3-pseudomanifolds with at most four singularities0
Multiple mixed interior and boundary peaks synchronized solutions for linearly coupled Schrödinger systems0
Concentrating solutions for a biharmonic problem with supercritical growth0
A word on Professor Kazimierz Goebel (1940-2022)0
The Banach-Mazur distance between C(Δ) and C_0(Δ) equals 20
Anti-periodic problem for semilinear differential inclusions involving Hille-Yosida operators0
The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth0
Multiple solutions to Bahri-Coron problem involving fractional $p$-Laplacian in some domain with nontrivial topology0
Multiplicity of 2-nodal solutions of the Yamabe equation0
Periodic solutions to reversible second order autonomous systems with commensurate delays0
Isolating neighborhoods and their stability for differential inclusions and Filippov systems0
Remarks on the continuity of convex functions in geodesic spaces0
New fixed point theorems for sum operators in set $P_{h,e}$ and their applications to nonlinear fractional differential problems0
On first and second-order perturbed differential inclusions governed by maximal monotone operators0
Fixed point indices and fixed words at infinity of selfmaps of graphs II0
The regularized free fall II. Homology computation via heat flow0
Parametrized topological complexity of sphere bundles0
Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions0
Periodic solutions of singular Duffing equations under one-sided Lipschitz condition0
Pohožaev-type ground state solutions for Choquard equation with singular potential and critical exponent0
Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation0
Optimal control, well-posedness and sensitivity analysis for a class of generalized evolutionary systems0
Maps of degree one, LS category and higher topological complexities0
A measure differential inclusion with time-dependent maximal monotone operators0
Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth0
Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity0
Nodal solutions for a critical Kirchhoff type problem in $\mathbb{R}^N$0
A three solutions theorem for Pucci's extremal operator and its application0
Some notes on the topological pressure of non-autonomous systems0
A study on approximate controllability of evolution systems with nonlocal conditions0
On global invertibility of semi-algebraic local diffeomorphisms0
Critical Kirchhoff-Choquard system involving the fractional $p$-Laplacian operator and singular nonlinearities0
Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations0
On the critical $p$-Kirchhoff equation0
Existence of nontrivial solutions to Schrödinger systems with linear and nonlinear couplings via Morse theory0
Sectional category of maps related to finite spaces0
LS-category and topological complexity of Milnor manifolds and corresponding generalized projective product spaces0
Finiteness in polygonal billiards on hyperbolic plane0
Characterization of regularity sets for families of sequences of matrices0
Local Morrey estimate in Musielak-Orlicz-Sobolev space0
$\alpha$-$(h,e)$-convex operators and applications for Riemann-Liouville fractional differential equations0
Bounded resonant problems driven by fractional Laplacian0
Reverse Faber-Krahn inequalities for Zaremba problems0
On the $S$-asymptotically $\omega$-periodic mild solutions for multi-term time fractional measure differential equations0
Periodic points of self-maps of products of lens spaces $L(3)\times L(3)$0
Ground state solutions for a critical fractional Laplacian equation in unbounded domains: existence and regularity0
A heterogeneous diffusive logistic model with constant yield harvesting in $\mathbb{R^N}$ under strong growth rate0
A characterization of the family of iterated nonexpansive mappings under every renorming0
Exponential attractor for the Cahn-Hilliard-Oono equation in R^N0
Compactness in normed spaces: a unified approach through semi-norms0
Positive solution of quasilinear elliptic equations in $\mathbb{R}^N$ with a bounded quasilinearity0
Trajectory approximately controllability and optimal control for noninstantaneous impulsive inclusions without compactness0
A Fredholm alternative for elliptic equations with interior and boundary nonlinear reactions0
Multiple solutions for perturbed quasilinear elliptic problems0
Two novel golden ratio algorithms for quasimonotone variational inequalities0
A noniterative reconstruction method for the inverse potential problem for a time-fractional diffusion equation0
Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach0
Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^80
The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory0
$Z_2^k$-actions with connected fixed point set0
Hopf bifurcation and stability analysis for a delayed equation with φ-Laplacian0
Positive solutions with a singular set for semilinear parabolic equations0
A class of double phase problem without Ambrosetti-Rabinowitz-type growth condition: infinitely many solutions0
Remarks on criticality and crisis in pure exchange economies0
A singular perturbed problem with critical Sobolev exponent0
On the monotonicity of non-local perimeter of convex bodies0
Decay mild solutions of fractional differential hemivariational inequalities0
p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions0
Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion0
Some existence results for nonresonant difference equations on infinite intervals subject to nonlocal boundary conditions0
Some generalized nonexpansive mappings and weak normal structure0
Envy-free division via configuration spaces0
Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in $R^2$ and $R^3$0
Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities0
On a weighted problem of p-biharmonic type in the unit ball of R^N with exponential growth non linearity0
Realization of rotation vectors for volume preserving homeomorphisms of the torus0
Concentrating solutions for an anisotropic planar elliptic Neumann problem with Hardy-Hénon weight and large exponent0
Modular version of Goebel-Kirk theorem0
Conley index theory and the attractor-repeller decomposition for differential inclusions0
Partial minimization over the Nehari set and applications to elliptic equations0
Topological degree for some parabolic equations with Riemann-Liouville time-fractional derivatives0
Strong surjections from two-complexes with trivial top-cohomology onto nonorientable surfaces0
New fixed point results for nonlinear Feng-Liu contractions with applications0
Multiplicity of positive solutions for a Kirchhoff type problem without asymptotic conditions0
Rank-two solenoidal endomorphisms0
Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues0
Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets0
Hilbert and Poincaré problems for semi-linear equations in rectifiable domains0
Fixed point theorems in partially ordered topological spaces with applications0
Liouville type theorems for Kirchhoff sub-elliptic equations involving $\Delta_\lambda$-operators0
Higher homotopic distance0
Fixed point results for generalized nonexpansive and Suzuki mappings with application in $L^{1}(\Omega, \Sigma, \mu)$/0
Normalized solutions to a class of Choquard-type equations with potential0
Embeddability of joins and products of polyhedra0
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