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 2021-04-01 to 2025-04-01.)
ArticleCitations
Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth6
Dissipative solvability of Jeffreys-Oldroyd-$\alpha$ model6
Fixed points of $G$-monotone mappings in metric and modular spaces5
Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations5
Fixed point results for convex orbital nonexpansive type mappings4
Mild solutions to a class of nonlinear second order evolution equations4
Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth4
Fixed point for mappings of asymptotically nonexpansive type in Lebesgue spaces with variable exponents3
Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps3
Normalized solutions to a class of Choquard-type equations with potential3
Componentwise localization of critical points for functionals defined on product spaces3
Semiclassical states for Schrödinger-Poisson system with Hartree-type nonlinearity3
Second-order boundary estimates for large positive solutions to an elliptic system of competitive type3
A word on Professor Kazimierz Goebel (1940-2022)3
Extending and paralleling Stechkin's category theorem3
Infinitely many positive solutions for a double phase problems involving the double phase operator2
Periodic solutions of fractional Laplace equations: Least period, axial symmetry and limit2
Gutierrez-Sotomayor flows on singular surfaces2
Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments2
Topological degree for some parabolic equations with Riemann-Liouville time-fractional derivatives2
Existence and multiplicity of normalized solutions to lower critical Choquard equation with kinds of bounded potentials2
Concentrating solutions for an anisotropic planar elliptic Neumann problem with Hardy-Hénon weight and large exponent2
Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^82
Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients2
A class of double phase problem without Ambrosetti-Rabinowitz-type growth condition: infinitely many solutions2
The Choquard logarithmic equation involving a nonlinearity with exponential growth2
A characterization of the family of iterated nonexpansive mappings under every renorming2
Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities1
Semiclassical solutions for fractional logarithmic Schrödinger equations with potentials unbounded below1
Bounded resonant problems driven by fractional Laplacian1
Equilibrium under uncertainty with fuzzy payoff1
Multifractal analysis of Hewitt-Stromberg measures with respect to gauge control functions1
Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system1
On Conley theory for generalized Gutierrez-Sotomayor flows1
Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds1
A family of distal functions and multipliers for strict ergodicity1
The Wecken problem for coincidences of boundary preserving surface maps1
Local Morrey estimate in Musielak-Orlicz-Sobolev space1
Reeb graphs of circle-valued functions: A survey and basic facts1
Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions1
Local and nonlocal problems for fractional impulsive evolution systems with order $\nu\in(1,2)$1
Fixed point theorem for generic 2-generalized hybrid mappings in Hilbert spaces1
Andrzej Granas (1929-2019)1
Proper $k$-ball-contractive mappings in $C_b^m[0, + \infty)$1
Neumann-type boundary value problem associated with Hamiltonian systems1
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations1
Analysis of the Hopf bifurcation in a Diffusive Gierer-Meinhardt Model1
Normalized solutions to a non-variational Schrödinger system1
Existence of nontrivial solutions to Schrödinger systems with linear and nonlinear couplings via Morse theory1
Bifurcation of solutions of $U(1)$-equivariant semilinear boundary value problems1
Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two1
Rate of convergence of global attractors for some perturbed reaction-diffusion equations under smooth perturbations of the domain1
Conley index theory for Gutierrez-Sotomayor flows on singular 3-manifolds1
Topologizing Sperner's lemma1
Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets1
The Borsuk-Ulam property for maps from the product of two surfaces into a surface1
Balanced capacities1
Monotonicity of eigenvalues of the fractional $p$-Laplacian with singular weights1
Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent1
A note on positive solutions of Lichnerowicz equations involving the $\Delta_\lambda$-Laplacian1
A singular perturbed problem with critical Sobolev exponent1
Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions1
Embeddability of joins and products of polyhedra1
On a semilinear fourth order elliptic problem with asymmetric nonlinearity1
On the critical $p$-Kirchhoff equation1
Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations0
The existence of multiple topologically distinct solutions to $\sigma_{2,p}$-energy0
Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space0
The regularized free fall II. Homology computation via heat flow0
Critical points of a mean field type functional on a closed Riemann surface0
Strategies to annihilate coincidences of maps from two-complexes into the circle0
Topological entropy of diagonal maps on inverse limit spaces0
Some bifurcation results and multiple solutions for the $p$-Laplacian equation0
Geometric analysis of quadratic differential systems with invariant ellipses0
Existence of solutions for the Brezis-Nirenberg problem0
Symmetry-breaking bifurcations for free boundary problems modeling tumor growth0
A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth0
Some notes on the topological pressure of non-autonomous systems0
Concentrating solutions for a biharmonic problem with supercritical growth0
Retracting a ball in $\ell_1$ onto its simple spherical cap0
A classical approach for the $p$-Laplacian in oscillating thin domains0
Fixed point theory on Banach spheres0
Rescaled-expansive flows: unstable sets and topological entropy0
Sectional category of maps related to finite spaces0
Bisection of measures on spheres and a fixed point theorem0
Global multiplicity for parametric anisotropic Neumann (p,q)-equations0
Kazimierz Goebel (1940-2022)0
On nonlinear Schrödinger equations with attractive inverse-power potentials0
On global invertibility of semi-algebraic local diffeomorphisms0
Generalized Tonnetz and discrete Abel-Jacobi map0
Envy-free division via configuration spaces0
Multiple solutions to Bahri-Coron problem involving fractional $p$-Laplacian in some domain with nontrivial topology0
Three positive solutions for the indefinite fractional Schrödinger-Poisson systems0
Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth0
Existence of positive solution for a class of quasilinear Schrödinger equations with potential vanishing at infinity on nonreflexive Orlicz-Sobolev spaces0
On a class of Hausdorff measure of cartesian product sets in metric spaces0
Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients0
Exponential attractor for the Cahn-Hilliard-Oono equation in R^N0
A characterization of $g_2$-minimal normal 3-pseudomanifolds with at most four singularities0
Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions0
BMO and Dirichlet problem for semi-linear equations in the plane0
Existence results for fractional Brezis-Nirenberg type problems in unbounded domains0
An accelerated variant of the projection based parallel hybrid algorithm for split null point problems0
Max-plus convexity in Archimedean Riesz spaces0
Reverse Faber-Krahn inequalities for Zaremba problems0
Fixed point indices and fixed words at infinity of selfmaps of graphs II0
Sign-changing multi-bump solutions for Choquard equation with deepening potential well0
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values0
Fixed point theorems in partially ordered topological spaces with applications0
Trajectory approximately controllability and optimal control for noninstantaneous impulsive inclusions without compactness0
Some generalized nonexpansive mappings and weak normal structure0
Rank-two solenoidal endomorphisms0
A noniterative reconstruction method for the inverse potential problem for a time-fractional diffusion equation0
$Z_2^k$-actions with connected fixed point set0
Regularization methods for solving the split feasibility problem with multiple output sets in Hilbert spaces0
G-category versus orbifold category0
Maps of degree one, LS category and higher topological complexities0
The existence of constrained minimizers related to fractional $p$-Laplacian equations0
Multiple cylindrically symmetric solutions of nonlinear Maxwell equations0
Borsuk-Ulam theorems for elementary abelian 2-groups0
A Borel linear subspace of R^\omega that cannot be covered by countably many closed Haar-meager sets0
Well-ordered and non-well-ordered lower and upper solutions for periodic 2N-dimensional systems0
Remarks on criticality and crisis in pure exchange economies0
On split equality monotone variational inclusion and fixed point problems in reflexive Banach spaces0
Orbital Lipschitzian mappings and semigroup actions on metric spaces0
Anti-periodic problem for semilinear differential inclusions involving Hille-Yosida operators0
New fixed point theorems for sum operators in set $P_{h,e}$ and their applications to nonlinear fractional differential problems0
Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces0
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators0
A heterogeneous diffusive logistic model with constant yield harvesting in $\mathbb{R^N}$ under strong growth rate0
Equilibria of vortex type Hamiltonians on closed surfaces0
On the critical exponents for a fractional diffusion-wave equation with a nonlinear memory term in a bounded domain0
Parametrised topological complexity of group epimorphisms0
Normalized solutions to p-Laplacian equation: Sobolev critical case0
Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type0
Absolute normalized norms in R^2 and Heinz means constant0
A note on local minimizers of energy on complete manifolds0
Decay mild solutions of fractional differential hemivariational inequalities0
Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space0
Gromov-Hausdorff stability for semilinear systems with large diffusion0
Realization of rotation vectors for volume preserving homeomorphisms of the torus0
Multiple mixed interior and boundary peaks synchronized solutions for linearly coupled Schrödinger systems0
Partial minimization over the Nehari set and applications to elliptic equations0
The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth0
A non-linear stable non-Gaussian process in fractional time0
Some existence results for nonresonant difference equations on infinite intervals subject to nonlocal boundary conditions0
On infinite systems of nonlinear integral equations in two variables in Banach Space $BC(\mathbb{R_+}\times \mathbb{R_+},c_0$)0
Characterization of regularity sets for families of sequences of matrices0
Affine-periodic solutions for generalized ODEs and other equations0
Compactness in normed spaces: a unified approach through semi-norms0
Realization of a graph as the Reeb graph of a height function on an embedded surface0
Small perturbations of Robin problems driven by the $p$-Laplacian plus a positive potential0
Multiplicity of 2-nodal solutions of the Yamabe equation0
On Caristi fixed point theorem for set-valued mappings0
Pohožaev-type ground state solutions for Choquard equation with singular potential and critical exponent0
Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion0
Multiple solutions of nonlinear Neumann inclusions0
The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms0
Periodic solutions for systems of functional-differential semilinear equations at resonance0
Existence of eigenvalues for anisotropic and fractional anisotropic problems via Ljusternik-Schnirelmann Theory0
Ground state solution for a class of supercritical Hénon equation with variable exponent0
Positive solutions of Neumann boundary value problems and applications to logistic type population models0
Existence of positive solutions for generalized fractional Brézis-Nirenberg problem0
Critical Kirchhoff-type equation with singular potential0
Fourth-order elliptic problems involving concave-superlinear nonlinearities0
A fixed point theorem for nonself nonlinear contractions in length spaces0
Periodic solutions of superlinear and sublinear state-dependent discontinuous differential equations0
Strong Nielsen equivalence on the punctured disc0
Corrigendum and contribution to "Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces" (Topol. Methods Nonlinear Anal. 60 (2022), no.0
Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in $R^2$ and $R^3$0
Lift factors for the Nielsen root theory on $n$-valued maps0
On the $S$-asymptotically $\omega$-periodic mild solutions for multi-term time fractional measure differential equations0
On a class of weighted anisotropic p-Laplace equation with singular nonlinearity0
Conley index theory and the attractor-repeller decomposition for differential inclusions0
A Kirchhoff type elliptic systems with exponential growth nonlinearities0
On first and second-order perturbed differential inclusions governed by maximal monotone operators0
Lusternik-Schnirelmann theory to topological complexity from $A_{\infty}$-view point0
The homotopy classification of proper Fredholm maps of index one0
Existence and multiplicity of sign-changing solutions for a Schrödinger-Bopp-Podolsky system0
On solutions vanishing at infinity of infinite systems of quadratic Urysohn integral equations0
Ground state solutions for a critical fractional Laplacian equation in unbounded domains: existence and regularity0
Periodic solutions of singular Duffing equations under one-sided Lipschitz condition0
Optimal control, well-posedness and sensitivity analysis for a class of generalized evolutionary systems0
Parametrized topological complexity of sphere bundles0
LS-category and topological complexity of Milnor manifolds and corresponding generalized projective product spaces0
The Airy equations with impulsive effect: multi-valued nonlinear perturbations0
Hopf bifurcation and stability analysis for a delayed equation with φ-Laplacian0
Higher homotopic distance0
Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach0
On determining the homological Conley index of Poincaré maps in autonomous systems0
Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation0
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle - part 20
Normal forms of parabolic logarithmic transseries0
A measure differential inclusion with time-dependent maximal monotone operators0
A class of singular $k_i$-Hessian systems0
Multiple solutions for perturbed quasilinear elliptic problems0
Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term0
Periodic solutions to reversible second order autonomous systems with commensurate delays0
Topological complexity of $S^3/Q_8$ as fibrewise L-S category0
Normalized solutions for nonlinear fractional Kirchhoff type systems0
Existence of solutions for a coupled system of nonlinear fractional differential equations at resonance0
Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues0
Brézis-Kato type regularity results for higher order elliptic operators0
Critical Kirchhoff-Choquard system involving the fractional $p$-Laplacian operator and singular nonlinearities0
Liouville type theorems for Kirchhoff sub-elliptic equations involving $\Delta_\lambda$-operators0
Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity0
Normalized solutions for the Schrödinger-Poisson system with doubly critical growth0
Existence of saddle-type solutions for a class of quasilinear problems in R^20
Fixed point results for generalized nonexpansive and Suzuki mappings with application in $L^{1}(\Omega, \Sigma, \mu)$/0
Existence and regularity of positive solutions of a degenerate fourth order elliptic problem0
Role of partial functionals in the study of variational systems0
On the operator of center of distances between the spaces of closed subsets of the real line0
Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators0
Halpern-type proximal point algorithm in CAT(0) spaces0
On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation0
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems0
A study on approximate controllability of evolution systems with nonlocal conditions0
p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions0
Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type0
On the number of stable positive solutions of weakly nonlinear elliptic equations when the diffusion is small0
A direct proof of existence of weak solutions to elliptic problems0
Characterization of the algebraic difference of special affine Cantor sets0
Hilbert and Poincaré problems for semi-linear equations in rectifiable domains0
Isolating neighborhoods and their stability for differential inclusions and Filippov systems0
Hopf bifurcation in a diffusive predator-prey model with a square-root singularity0
A Fredholm alternative for elliptic equations with interior and boundary nonlinear reactions0
A characterization of nonautonomous attractors via Stone-Čech compactification0
Existence of solutions for the $(p,N)$-Laplacian equation with logarithmic and critical exponential nonlinearities0
Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity0
On the Choquard equations under the effect of a general nonlinear term0
Explicit models of ℓ_1-preduals and the weak* fixed point property in ℓ_10
Topological stability and shadowing of dynamical systems from measure theoretical viewpoint0
Remarks on the continuity of convex functions in geodesic spaces0
The fixed point set of the inverse involution on a Lie group0
On global bifurcation for the nonlinear Steklov problems0
Periodic points of self-maps of products of lens spaces $L(3)\times L(3)$0
Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations0
Modular version of Goebel-Kirk theorem0
On the relative category in the brake orbits problem0
On a class of Kirchhoff-Choquard equations involving variable-order fractional $p(\cdot)$-Laplacian and without Ambrosetti-Rabinowitz type condition0
On a class of polynomial differential systems of degree 4: phase portraits and limit cycles0
$\alpha$-$(h,e)$-convex operators and applications for Riemann-Liouville fractional differential equations0
Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems0
Strong surjections from two-complexes with trivial top-cohomology onto nonorientable surfaces0
Nodal solutions for a critical Kirchhoff type problem in $\mathbb{R}^N$0
On the monotonicity of non-local perimeter of convex bodies0
The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory0
Minimizers of L^2-critical inhomogeneous variational problems with a spatially decaying nonlinearity in bounded domains0
Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations0
A priori bounds and existence of positive solutions for fractional Kirchhoff equations0
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