Superlinear Kirchhoff-type problems of the fractional \(p\)-Laplacian without the (AR) condition
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Publication:2126507
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
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)
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Cites Work
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- A new result on multiplicity of nontrivial solutions for the nonhomogenous Schrödinger-Kirchhoff type problem in \(\mathbb R^N\)
- Nontrivial solutions of superlinear nonlocal problems
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- Existence and multiplicity of solutions for a \(p(x)\)-Kirchhoff type equation
- Superlinear problems
- Mountain pass solutions for non-local elliptic operators
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- On superlinear problems without the Ambrosetti and Rabinowitz condition
- Sull'esistenza di autovalori per un problema al contorno non lineare
- Minimax theorems
- Variational methods for non-local operators of elliptic type
- Dual variational methods in critical point theory and applications
- Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
- Nontrivial solutions of some fractional problems
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
- Multiple solutions for ap(x)-Kirchhoff-type equation with sign-changing nonlinearities
- Existence and multiplicity results for infinitely many solutions for Kirchhoff-type problems in RN
- Superlinear nonlocal fractional problems with infinitely many solutions
- Degenerate Kirchhoff problems involving the fractionalp-Laplacian without the (AR) condition
- Variational elliptic problems which are nonquadratic at infinity
- Infinitely many solutions of a symmetric Dirichlet problem
- Variant fountain theorems and their applications
