Multiplicity of solutions for a class of nonlocal regional elliptic equations

DOI10.1016/j.jmaa.2018.07.014zbMath1400.35113OpenAlexW2877408316MaRDI QIDQ2413985

Oliverio Pichardo, César E. Torres Ledesma, Hernán Cuti, Manuel Montalvo

Publication date: 17 September 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.014

zbMATH Keywords

nonlinear Schrödinger equationinfinitely many solutionsregional fractional Laplacian

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

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Existence of solutions for critical Fractional FitzHugh–Nagumo type systems

Cites Work

• Unnamed Item
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• Nonlinear Dirichlet problem with non local regional diffusion
• Hitchhiker's guide to the fractional Sobolev spaces
• Radial symmetry of ground states for a regional fractional nonlinear Schrödinger equation
• Non-linear Schrödinger equation with non-local regional diffusion
• Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
• Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian
• Two-sided heat kernel estimates for censored stable-like processes
• Integration by parts formula for regional fractional Laplacian
• On a class of nonlinear Schrödinger equations
• Censored stable processes
• Green function estimate for censored stable processes
• A class of integral equations and approximation of \(p\)-Laplace equations
• Existence and multiplicity of solutions for a non-linear Schrödinger equation with non-local regional diffusion
• Symmetric ground state solution for a non-linear Schrödinger equation with non-local regional diffusion
• Multiplicity and symmetry results for a nonlinear Schrödinger equation with non‐local regional diffusion
• The random walk's guide to anomalous diffusion: A fractional dynamics approach