On sequences of homoclinic solutions for fractional discrete \(p\)-Laplacian equations
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Publication:6611452
DOI10.3934/CAM.2023029zbMATH Open1548.35282MaRDI QIDQ6611452
Chunming Ju, Giovanni Molica Bisci, Binlin Zhang
Publication date: 26 September 2024
Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)
Variational methods for second-order elliptic equations (35J20) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
- Sequences of weak solutions for fractional equations
- Multiple solutions for discrete boundary value problems
- Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
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- A general variational principle and some of its applications
- On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
- The Nehari manifold method for discrete fractional \(p\)-Laplacian equations
- On fractional discrete \(p\)-Laplacian equations via Clark's theorem
- Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
- Homoclinic solutions for fractional discrete Laplacian equations
- Existence theorems for second-order discrete boundary value problems
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- Banach space theory. The basis for linear and nonlinear analysis
- Variational Methods for Nonlocal Fractional Problems
- Infinitely many solutions for a Dirichlet problem involving the p-Laplacian
- Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications
Related Items (4)
On homoclinic solutions of nonlinear Laplacian partial difference equations with a parameter ⋮ Anisotropic \((\vec{p}, \vec{q})\)-Laplacian problems with superlinear nonlinearities ⋮ Nontrivial \(p\)-convex solutions to singular \(p\)-Monge-Ampère problems: existence, multiplicity and nonexistence ⋮ Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity
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