Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
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Publication:2170666
DOI10.1515/anona-2022-0251zbMath1497.39005OpenAlexW4226464084MaRDI QIDQ2170666
Publication date: 6 September 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2022-0251
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Discrete version of topics in analysis (39A12) Partial difference equations (39A14) Discrete Morse theory and related ideas in manifold topology (57Q70)
Related Items (7)
Multiple periodic solutions of a second-order partial difference equation involving \(p\)-Laplacian ⋮ Infinitely many large energy solutions to a class of nonlocal discrete elliptic boundary value problems ⋮ Existence and concentration of solutions to Kirchhoff-type equations in \(\mathbb{R}^2\) with steep potential well vanishing at infinity and exponential critical nonlinearities ⋮ Homoclinic solutions for partial difference equations with mixed nonlinearities ⋮ Standing waves solutions for the discrete Schrödinger equations with resonance ⋮ Least energy sign-changing solutions for discrete Kirchhoff-type problems ⋮ Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems
Cites Work
- Homoclinic solutions in periodic difference equations with saturable nonlinearity
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Nontrivial solutions of a class of nonlocal problems via local linking theory
- Existence of multiple solutions to second-order discrete Neumann boundary value problems
- Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups
- Infinite dimensional Morse theory and multiple solution problems
- Multiplicity results for asymptotically linear elliptic problems at resonance.
- Resonance problems for Kirchhoff type equations
- On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
- Some remarks on uniqueness of positive solutions to Kirchhoff type equations
- Existence and multiplicity solutions for discrete Kirchhoff type problems
- Three nontrivial solutions for second-order partial difference equation via Morse theory
- Three solutions for a partial discrete Dirichlet boundary value problem with \(p\)-Laplacian
- Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation
- Global dynamics of a delayed two-patch discrete SIR disease model
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- Multiple results on nontrivial solutions of discrete Kirchhoff type problems
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Solutions of asymptotically linear operator equations via morse theory
- Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients
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