Multiple solutions for a Kirchhoff-type problem with vanishing nonlocal term and fractional \(p\)-Laplacian
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Publication:6082872
DOI10.1007/s11464-021-0019-5zbMath1529.35237OpenAlexW4387122870MaRDI QIDQ6082872
Zhen-Hai Liu, Motreanu, Dumitru, Sheng-Da Zeng
Publication date: 7 December 2023
Published in: Frontiers of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-021-0019-5
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)
Cites Work
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Nonlocal elliptic variational-hemivariational inequalities
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Global nonexistence for nonlinear Kirchhoff systems
- A class of fractional differential hemivariational inequalities with application to contact problem
- Positive solutions for a Kirchhoff problem with vanishing nonlocal term
- Mixed variational inequalities driven by fractional evolutionary equations
- Multiple solutions for a fractional elliptic problem with critical growth
- Multiplicity of positive solutions for an equation with degenerate nonlocal diffusion
- Energy functionals of Kirchhoff-type problems having multiple global minima
- Ground states for Kirchhoff equations without compact condition
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Nonexistence and multiplicity of positive solutions for an equation with degenerate nonlocal diffusion
- Variational Methods for Nonlocal Fractional Problems
- Nonlocal elliptic hemivariational inequalities
- Existence of a least energy nodal solution for a Schrödinger-Kirchhoff equation with potential vanishing at infinity
