Solvability of a nonlocal fractional $p$-Kirchhoff type problem

DOI10.1007/s12215-023-00875-7zbMath1530.35338OpenAlexW4360978485MaRDI QIDQ6183469

Mohamed Bouabdallah, Jiabin Zuo, Mohammed Chehabi, Omar Chakrone

Publication date: 4 January 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-023-00875-7

zbMATH Keywords

Dirichlet boundary conditions variational methods nontrivial solutions Kirchhoff problem nonlocal fractional $p$-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Unnamed Item
Existence results for fractional $p$-Laplacian problems via Morse theory
Existence of solutions for fractional $p$-Laplacian problems via Leray-Schauder's nonlinear alternative
A resonance problem for non-local elliptic operators
On some critical problems for the fractional Laplacian operator
New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems
Hitchhiker's guide to the fractional Sobolev spaces
Existence of solutions for Kirchhoff type problem involving the non-local fractional $p$-Laplacian
Multiplicity of solutions for a $p$-Kirchhoff equation
Gamma-convergence of nonlocal perimeter functionals
Mountain pass solutions for non-local elliptic operators
Fractional integral on martingale Hardy spaces with variable exponents
On a $p$-Kirchhoff equation via Krasnoselskii's genus
Fractional quantum mechanics and Lévy path integrals
Infinitely many positive solutions for a nonlocal problem
Sign-changing solutions for non-local elliptic equations with asymptotically linear term
Maximum principles for the fractional p-Laplacian and symmetry of solutions
Multiplicity of positive solutions for a fractional $p\& q$-Laplacian problem in $\mathbb{R}^N$
Existence and multiplicity of solutions for a fractional $p$-Laplacian equation with perturbation
The boundedness of Doob's maximal and fractional integral operators for generalized grand Morrey-martingale spaces
Double phase problems with competing potentials: concentration and multiplication of ground states
Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems
Higher nonlocal problems with bounded potential
Existence of nontrivial solutions for $p$-Kirchhoff type equations
Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional $p$-Laplacian
Degenerate Kirchhoff-type diffusion problems involving the fractional $p$-Laplacian
Infinitely many solutions for a superlinear fractional $p$-Kirchhoff-type problem without the (AR) condition
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction
Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
Non-local Diffusions, Drifts and Games
Superlinear nonlocal fractional problems with infinitely many solutions
On an elliptic equation of p-Kirchhoff type via variational methods
Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
On existence solution for Schrödinger–Kirchhoff-type equations involving the fractional p-Laplacian in ℝ^N
On multiplicity solutions for a non-local fractional p-Laplace equation
On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions
Nonhomogeneous fractional $p$-Kirchhoff problems involving a critical nonlinearity
An Extension Problem Related to the Fractional Laplacian
Multiple nontrivial solutions to a $p$-Kirchhoff equation
The random walk's guide to anomalous diffusion: A fractional dynamics approach

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Solvability of a nonlocal fractional \(p\)-Kirchhoff type problem