Infinitely many solutions for a class of elliptic problems involving the fractional Laplacian
DOI10.1007/S13398-018-0498-8zbMath1418.35284OpenAlexW2789851731MaRDI QIDQ2314618
Tingting Zhao, Bin Ge, Ying-Xin Cui, Massimiliano Ferrara, Liang-Liang Sun
Publication date: 29 July 2019
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-018-0498-8
nontrivial solutionFountain theoremfractional \(p\)-LaplacianClark's theoremwithout the (AR) condition
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- Unnamed Item
- Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition
- The second eigenvalue of the fractional \(p\)-Laplacian
- Local behavior of fractional \(p\)-minimizers
- Global bifurcation for fractional \(p\)-Laplacian and an application
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- Infinitely many weak solutions for a fractional Schrödinger equation
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Convexity properties of Dirichlet integrals and Picone-type inequalities
- On a class of nonhomogeneous fractional quasilinear equations in \(\mathbb R^n\) with exponential growth
- Mountain pass solutions for non-local elliptic operators
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- On Clark's theorem and its applications to partially sublinear problems
- Existence of weak solutions for a fractional Schrödinger equation
- Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
- Fractional quantum mechanics and Lévy path integrals
- Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
- Variational methods for non-local operators of elliptic type
- \(1/2\)-Laplacian problems with exponential nonlinearity
- Fractional eigenvalues
- Non-local Diffusions, Drifts and Games
- Weyl-type laws for fractional p-eigenvalue problems
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Fractional p-eigenvalues
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