Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents
From MaRDI portal
Publication:5080394
DOI10.15388/namc.2022.27.26575zbMath1491.35216OpenAlexW4221001431MaRDI QIDQ5080394
Sihua Liang, Giovanni Molica Bisci, Binlin Zhang
Publication date: 31 May 2022
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15388/namc.2022.27.26575
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Hitchhiker's guide to the fractional Sobolev spaces
- Lebesgue and Sobolev spaces with variable exponents
- Mountain pass solutions for non-local elliptic operators
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Energy bounds for entire nodal solutions of autonomous superlinear equations
- On Clark's theorem and its applications to partially sublinear problems
- Multiplicity results for variable-order fractional Laplacian equations with variable growth
- Minimax theorems
- Ground states for nonlinear Kirchhoff equations with critical growth
- Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth
- Sign-changing solutions for the stationary Kirchhoff problems involving the fractional Laplacian in \(\mathbb{R}^N\)
- Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- A critical Kirchhoff type problem involving a nonlocal operator
- Variational Methods for Nonlocal Fractional Problems
- Some remarks on non local elliptic and parabolic problems
- Least energy nodal solutions for Kirchhoff‐type Laplacian problems
- Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents
- Least energy sign-changing solutions of Kirchhoff-type equation with critical growth
- Partial Differential Equations with Variable Exponents
- Existence of a least energy nodal solution for a Schrödinger-Kirchhoff equation with potential vanishing at infinity
- On the non-linear vibration problem of the elastic string
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents
