Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems

DOI10.1515/ans-2014-0406zbMath1312.39002OpenAlexW2264759871MaRDI QIDQ2935483

Giuseppina D'Aguì, Pasquale Candito, Gabriele Bonanno

Publication date: 30 December 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0406

zbMATH Keywords

difference equationspositive solutionvariational methodexistence resultsmultiplicity resultslocal minimum theorem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Existence of solutions for minimax problems (49J35) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (39)

Variational approach to anti-periodic boundary value problems involving the discrete \(p\)-Laplacian ⋮ Boundary value problems for a coupled system of second-order nonlinear difference equations ⋮ A complete characterization of the discrete \(p\)-Laplacian parabolic equations with \(q\)-nonlocal reaction with respect to the blow-up property ⋮ Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian ⋮ Three positive solutions for a nonlinear partial discrete Dirichlet problem with \((p,q)\)-Laplacian operator ⋮ Existence and multiplicity of solutions for \(p(x)\)-Laplacian problem with Steklov boundary condition ⋮ Positive solutions for a discrete two point nonlinear boundary value problem with \(p\)-Laplacian ⋮ Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving \(p\)-Laplacian ⋮ Positive solutions for a class of discrete mixed boundary value problems with the \(\left( p, q\right)\)-Laplacian operator ⋮ Existence of at least one homoclinic solution for a nonlinear second-order difference equation ⋮ A variational framework for second-order backward discrete boundary value problems ⋮ Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method ⋮ Superlinear discrete problems ⋮ Multiple solutions for boundary value problems of \(p\)-Laplacian difference equations containing both advance and retardation ⋮ Anisotropic discrete boundary value problems ⋮ Solutions to a \((p(x),q(x))\)-biharmonic elliptic problem on a bounded domain ⋮ Existence and multiplicity of solutions for a weighted \((p,q)\)-Laplacian problem on the Heisenberg Lie groups ⋮ A \((p(x),q(x))\)-Laplacian problem with the Steklov boundary conditions ⋮ Unnamed Item ⋮ Two Positive Solutions for a Nonlinear Neumann Problem Involving the Discrete p-Laplacian ⋮ Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem ⋮ Existence and multiplicity results for boundary value problems connected with the discrete \(p(\cdot)\)-Laplacian on weighted finite graphs ⋮ Existence of three solutions for a discrete anisotropic boundary value problem ⋮ Periodic and subharmonic solutions for a \(2n\)th-order \(p\)-Laplacian difference equation containing both advances and retardations ⋮ Multiplicity results for a \(p\)-Laplacian discrete problems of Kirchhoff type ⋮ Infinitely many solutions for discrete boundary value problems with the \((p, q)\)-Laplacian operator ⋮ Two solutions for a parametric singular p-Laplacian problem ⋮ On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator ⋮ An existence result for discrete anisotropic equations ⋮ Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator ⋮ Mixed elliptic problems involving the \(p\)-Laplacian with nonhomogeneous boundary conditions ⋮ Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator ⋮ A variational framework for a second order discrete boundary value problem with mixed periodic boundary conditions ⋮ An eigenvalue of anisotropic discrete problem with three variable exponents ⋮ Existence results for a fourth-order discrete boundary value problem with a parameter ⋮ Boundary value problems for a second-order difference equation involving the mean curvature operator ⋮ Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities ⋮ Existence of a priori bounded solutions for discrete two-point boundary value problems ⋮ Multiple periodic solutions for discrete boundary value problem involving the mean curvature operator

This page was built for publication: Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems