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 2020-03-01 to 2024-03-01.)
ArticleCitations
Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms13
Basic results of fractional Orlicz-Sobolev space and applications to non-local problems12
Semiflow selection and Markov selection theorems6
On a class of Kirchhoff-Choquard equations involving variable-order fractional $p(\cdot)$-Laplacian and without Ambrosetti-Rabinowitz type condition5
Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients5
Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions5
Regularization methods for solving the split feasibility problem with multiple output sets in Hilbert spaces4
Multiple periodic solutions for one-sided sublinear systems: A refinement of the Poincaré-Birkhoff approach4
Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators4
Trajectory approximately controllability and optimal control for noninstantaneous impulsive inclusions without compactness4
How many simplices are needed to triangulate a Grassmannian?3
Rate of convergence of global attractors for some perturbed reaction-diffusion equations under smooth perturbations of the domain3
Fractional Hardy-Sobolev elliptic problems3
Existence and stability of standing waves for the Choquard equation with partial confinement3
Asymptotic behavior of inexact orbits of nonexpansive mappings3
On nonlinear Schrödinger equations with attractive inverse-power potentials3
Hilbert and Poincaré problems for semi-linear equations in rectifiable domains3
Nielsen number, impulsive differential equations and problem of Jean Leray3
A classical approach for the $p$-Laplacian in oscillating thin domains3
An accelerated variant of the projection based parallel hybrid algorithm for split null point problems2
Connected component of positive solutions for singular superlinear semi-positone problems2
Asymptotic autonomy of bi-spatial attractors for stochastic retarded Navier-Stokes equations2
The Krasnosel'skiĭ-Mann algorithm for a countable family of non-self Lipschitzian mappings2
$L^\infty$-bounds of solutions for a class of strongly nonlinear elliptic equations in Musielak spaces2
Generalized Tonnetz and discrete Abel-Jacobi map2
Chevalley groups of types $B_n$, $C_n$, $D_n$ over certain fields do not possess the $R_{\infty}$-property2
Finiteness in polygonal billiards on hyperbolic plane2
Higher homotopic distance2
The existence of constrained minimizers related to fractional $p$-Laplacian equations2
On the centers of cubic polynomial differential systems with four invariant straight lines2
Topological stability and shadowing of dynamical systems from measure theoretical viewpoint2
Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases2
Critical Kirchhoff-Choquard system involving the fractional $p$-Laplacian operator and singular nonlinearities2
Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation1
Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue1
Affine-periodic solutions for generalized ODEs and other equations1
Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations1
G-category versus orbifold category1
Periodic solutions of fractional Laplace equations: Least period, axial symmetry and limit1
Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited1
Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems1
Solutions to indefinite weakly coupled cooperative elliptic systems1
Quasilinear Schrödinger equations with singular and vanishing potentials involving nonlinearities with critical exponential growth1
Corrigendum and addendum to "Non-autonomous quasilinear elliptic equations and Ważewski's principle"1
Periodic solutions to reversible second order autonomous systems with commensurate delays1
A note on local minimizers of energy on complete manifolds1
Fixed point indices and fixed words at infinity of selfmaps of graphs II1
Existence and exponential stability of anti-periodic solution for fuzzy BAM neural networks with inertial terms and time-varying delays1
Existence and multiplicity of sign-changing solutions for a Schrödinger-Bopp-Podolsky system1
The Borsuk-Ulam property for maps from the product of two surfaces into a surface1
Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach1
Extension of Lipschitz-type operators on Banach function spaces1
Specification properties for non-autonomous discrete systems1
On the study of variational inequality of generalized Marguerre-von Kármán's type via Leray-Schauder degree1
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations1
Equivalent forms of the Brouwer fixed point theorem II1
Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions1
Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth1
Addendum and corrigendum to "On the chaos game of iterated function systems"1
Bisection of measures on spheres and a fixed point theorem1
Embeddability of joins and products of polyhedra1
A Kirchhoff type elliptic systems with exponential growth nonlinearities1
Componentwise localization of critical points for functionals defined on product spaces1
Volterra-Choquet nonlinear operators1
Some generalizations of distality1
Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system1
On the Choquard equations under the effect of a general nonlinear term1
Anti-periodic problem for semilinear differential inclusions involving Hille-Yosida operators1
On a class of polynomial differential systems of degree 4: phase portraits and limit cycles1
A class of singular $k_i$-Hessian systems1
Semiclassical states for critical Choquard equations with critical frequency1
Nodal solutions for a critical Kirchhoff type problem in $\mathbb{R}^N$1
Equilibrium under uncertainty with fuzzy payoff1
Normalized solutions for nonlinear fractional Kirchhoff type systems1
Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities1
The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth1
On the bounded index property for products of aspherical polyhedra1
On a class of weighted anisotropic p-Laplace equation with singular nonlinearity1
Minimal periodic problem for brake orbits of first-order Hamiltonian systems1
Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions1
Attractor for a model of extensible beam with damping on time-dependent space1
Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions1
Positive solutions for Schrödinger-Poisson-Slater system with coercive potential1
Existence of solutions for a coupled system of nonlinear fractional differential equations at resonance1
Existence of saddle-type solutions for a class of quasilinear problems in R^21
Non-local to local transition for ground states of fractional Schrödinger equations on bounded domains1
Conley index theory and the attractor-repeller decomposition for differential inclusions1
On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature1
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values1
Decay mild solutions of fractional differential hemivariational inequalities1
Sectional category and the fixed point property1
On determining the homological Conley index of Poincaré maps in autonomous systems0
Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term0
The Choquard logarithmic equation involving a nonlinearity with exponential growth0
A measure differential inclusion with time-dependent maximal monotone operators0
Multiple solutions for perturbed quasilinear elliptic problems0
New fixed point theorems for sum operators in set $P_{h,e}$ and their applications to nonlinear fractional differential problems0
The structure of positive solutions for a Schrödinger system0
Realization of rotation vectors for volume preserving homeomorphisms of the torus0
Conley index theory for Gutierrez-Sotomayor flows on singular 3-manifolds0
Fixed point results for generalized nonexpansive and Suzuki mappings with application in $L^{1}(\Omega, \Sigma, \mu)$/0
Dynamical zeta functions of Reidemeister type0
Characterization of regularity sets for families of sequences of matrices0
Function and colorful extensions of the KKM theorem0
Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues0
On a semilinear fourth order elliptic problem with asymmetric nonlinearity0
Positive solutions of Neumann boundary value problems and applications to logistic type population models0
Infinitely many periodic solutions of Duffing equations under integral condition0
Knot invariants coming from pre-image indices0
Absolute normalized norms in R^2 and Heinz means constant0
Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities0
Periodic solutions of superlinear and sublinear state-dependent discontinuous differential equations0
Remarks on criticality and crisis in pure exchange economies0
Periodic solutions for systems of functional-differential semilinear equations at resonance0
Normalized solutions for the Schrödinger-Poisson system with doubly critical growth0
A family of distal functions and multipliers for strict ergodicity0
On the $S$-asymptotically $\omega$-periodic mild solutions for multi-term time fractional measure differential equations0
A priori bounds and existence of positive solutions for fractional Kirchhoff equations0
Fourth-order elliptic problems involving concave-superlinear nonlinearities0
Existence and regularity of positive solutions of a degenerate fourth order elliptic problem0
Halpern-type proximal point algorithm in CAT(0) spaces0
Extending and paralleling Stechkin's category theorem0
The existence of multiple topologically distinct solutions to $\sigma_{2,p}$-energy0
Strategies to annihilate coincidences of maps from two-complexes into the circle0
Sign-changing multi-bump solutions for Choquard equation with deepening potential well0
Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets0
Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type0
Monotonicity of eigenvalues of the fractional $p$-Laplacian with singular weights0
Positive solutions of Kirchhoff-Hénon type elliptic equations with critical Sobolev growth0
Multiplicity and concentration results for a class of singularly perturbed critical quasilinear Schrödinger equation0
A Fredholm alternative for elliptic equations with interior and boundary nonlinear reactions0
Analysis of the Hopf bifurcation in a Diffusive Gierer-Meinhardt Model0
Eulerian digraphs and the Schönemann-Gauss theorem0
Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity0
Weak exponential attractors for Coleman-Gurtin equations with dynamic boundary conditions possessing different memory kernels0
Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent0
On critical pseudo-relativistic Hartree equation with potential well0
A word on Professor Kazimierz Goebel (1940-2022)0
Rank-two solenoidal endomorphisms0
Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space0
A note on positive solutions of Lichnerowicz equations involving the $\Delta_\lambda$-Laplacian0
Critical Neumann problems with asymmetric nonlinearity0
On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation0
On the relative category in the brake orbits problem0
Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments0
The homotopy classification of proper Fredholm maps of index one0
The regularized free fall II. Homology computation via heat flow0
Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations0
Concentrating solutions for an anisotropic planar elliptic Neumann problem with Hardy-Hénon weight and large exponent0
Topological entropy of diagonal maps on inverse limit spaces0
Geometric analysis of quadratic differential systems with invariant ellipses0
Critical points of a mean field type functional on a closed Riemann surface0
Semiclassical states for Schrödinger-Poisson system with Hartree-type nonlinearity0
Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity0
A three solutions theorem for Pucci's extremal operator and its application0
A singular perturbed problem with critical Sobolev exponent0
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems0
Existence of pulses for a reaction-diffusion system of blood coagulation0
On Caristi fixed point theorem for set-valued mappings0
Semigroups on time scales and applications to abstract Cauchy problems0
Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type0
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle0
A characterization of nonautonomous attractors via Stone-Čech compactification0
Index zero fixed points and 2-complexes with local separating points0
Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion0
Concentrating solutions for a biharmonic problem with supercritical growth0
Computation of Nielsen and Reidemeister coincidence numbers for multiple maps0
Study of a class of generalized Schrödinger equations0
The Airy equations with impulsive effect: multi-valued nonlinear perturbations0
Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds0
Global multiplicity for parametric anisotropic Neumann (p,q)-equations0
Local Morrey estimate in Musielak-Orlicz-Sobolev space0
On a class of Hausdorff measure of cartesian product sets in metric spaces0
Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces0
Convergence and well-posedness properties of uniformly locally contractive mappings0
Fixed point theorem for generic 2-generalized hybrid mappings in Hilbert spaces0
Multiple solutions to Bahri-Coron problem involving fractional $p$-Laplacian in some domain with nontrivial topology0
Analytical signatures and proper actions0
Envy-free division via configuration spaces0
Double resonance in Sturm-Liouville planar boundary value problems0
Lower semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary0
Bifurcation of solutions of $U(1)$-equivariant semilinear boundary value problems0
On radial solutions for some elliptic equations involving operators with unbounded coefficients in exterior domains0
Multiplicity of positive solutions for a Kirchhoff type problem without asymptotic conditions0
Ground state solution for a class of supercritical Hénon equation with variable exponent0
Existence, uniqueness and decay estimates on mild solution to a fractional chemotaxis-fluid system0
Topological complexity of $S^3/Q_8$ as fibrewise L-S category0
Dissipative solvability of Jeffreys-Oldroyd-$\alpha$ model0
Borsuk-Ulam theorems for elementary abelian 2-groups0
A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth0
Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds0
Representing homotopy classes by maps with certain minimality root properties II0
Balanced capacities0
Existence of solutions for the Brezis-Nirenberg problem0
Reeb graphs of circle-valued functions: A survey and basic facts0
Ground-state solutions to a Kirchhoff-type transmission problem0
Three positive solutions for the indefinite fractional Schrödinger-Poisson systems0
Maps of degree one, LS category and higher topological complexities0
Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients0
A heterogeneous diffusive logistic model with constant yield harvesting in $\mathbb{R^N}$ under strong growth rate0
Bounded resonant problems driven by fractional Laplacian0
Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations0
Gutierrez-Sotomayor flows on singular surfaces0
Some notes on the topological pressure of non-autonomous systems0
Multiple solutions for quasilinear equation involving Hardy critical Sobolev exponents0
Parametrised topological complexity of group epimorphisms0
Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps0
Coincidence and self-coincidence of maps between digital images0
Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems0
Proper $k$-ball-contractive mappings in $C_b^m[0, + \infty)$0
Some bifurcation results and multiple solutions for the $p$-Laplacian equation0
Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two0
Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions0
Critical Kirchhoff-type equation with singular potential0
Fixed points and the inverse problem for central configurations0
Second-order boundary estimates for large positive solutions to an elliptic system of competitive type0
Max-plus convexity in Archimedean Riesz spaces0
Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space0
On the number of stable positive solutions of weakly nonlinear elliptic equations when the diffusion is small0
Multiple mixed interior and boundary peaks synchronized solutions for linearly coupled Schrödinger systems0
Existence of nontrivial solutions to Schrödinger systems with linear and nonlinear couplings via Morse theory0
Fixed point theorems in partially ordered topological spaces with applications0
Symmetry-breaking bifurcations for free boundary problems modeling tumor growth0
Isolating neighborhoods and their stability for differential inclusions and Filippov systems0
Parametrized topological complexity of sphere bundles0
Zero temperature limits of equilibrium states for subadditive potentials and approximation of maximal Lyapunov exponent0
Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations0
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle - part 20
Fractional stochastic evolution hemivariational inequalities and optimal controls0
A non-linear stable non-Gaussian process in fractional time0
Pohožaev-type ground state solutions for Choquard equation with singular potential and critical exponent0
On the critical $p$-Kirchhoff equation0
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces0
On global invertibility of semi-algebraic local diffeomorphisms0
On global bifurcation for the nonlinear Steklov problems0
The Wecken problem for coincidences of boundary preserving surface maps0
A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents0
Sign-changing solutions for coupled Schrödinger equations with mixed coupling0
Spectral numbers and manifolds with boundary0
Andrzej Granas (1929-2019)0
Multiple cylindrically symmetric solutions of nonlinear Maxwell equations0
Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth0
The fixed point set of the inverse involution on a Lie group0
Liouville type theorems for Kirchhoff sub-elliptic equations involving $\Delta_\lambda$-operators0
Normalized solutions to a non-variational Schrödinger system0
Fractional Kirchhoff-Schrödinger equation with critical exponential growth in $\mathbb{R}^{N}$0
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
Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^80
Small perturbations of Robin problems driven by the $p$-Laplacian plus a positive potential0
0.048510074615479