Multiplicity of solutions for a class of fractional \(p(x,\cdot)\)-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition
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Publication:2126683
DOI10.1186/s13661-020-01447-9zbMath1487.35404arXiv2009.07493OpenAlexW3103430990MaRDI QIDQ2126683
Jiabin Zuo, Mohamed Karim Hamdani, Nguyen Thanh Chung, Dušan D. Repovš
Publication date: 19 April 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.07493
symmetric mountain pass theoremCerami compactness conditionfractional Sobolev spaces with variable exponent\(p(x, \cdot)\)-fractional Laplace operatorAmbrosetti-Rabinowitz-type conditions
Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)
Related Items (6)
Existence and multiplicity of solutions for a new \(p(x)\)-Kirchhoff problem with variable exponents ⋮ Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents ⋮ Existence of solutions for a singular double phase Kirchhoff type problems involving the fractional \(q(x, .)\)-Laplacian Operator ⋮ Existence of multiple solution for a singular \(p(x)\)-Laplacian problem ⋮ New class of sixth-order nonhomogeneous \(p(x)\)-Kirchhoff problems with sign-changing weight functions ⋮ Infinitely many solutions for a new class of Schrödinger-Kirchhoff type equations in \(\mathbb{R}^N\) involving the fractional \(p\)-Laplacian
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