Superlinear Kirchhoff-type problems of the fractional \(p\)-Laplacian without the (AR) condition

DOI10.1186/s13661-018-1100-1zbMath1499.49028OpenAlexW2902574933WikidataQ128892132 ScholiaQ128892132MaRDI QIDQ2126507

Tianqing An, Mingwei Li, Jiabin Zuo

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-1100-1

zbMATH Keywords

fountain theoremAmbrosetti-Rabinowitz conditionfractional \(p\)-LaplacianKirchhoff-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items

Multiplicity of solutions for a class of fractional \(p(x,\cdot)\)-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition ⋮ High perturbations of a new Kirchhoff problem involving the \(p\)-Laplace operator ⋮ A bifurcation and symmetry result for critical fractional Laplacian equations involving a perturbation ⋮ Infinitely many solutions for a superlinear fractional \(p\)-Kirchhoff-type problem without the (AR) condition ⋮ Infinitely many high energy solutions for the generalized Chern-Simons-Schrödinger system ⋮ Neumann fractional \(p\)-Laplacian: eigenvalues and existence results ⋮ Existence of two positive solutions for two kinds of fractional \(p\)-Laplacian equations ⋮ Negative energy solutions for a new fractional \(p(x)\)-Kirchhoff problem without the (AR) condition ⋮ Existence and Hölder regularity of infinitely many solutions to a \(p\)-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition ⋮ 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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