Multiplicity of solutions for elliptic system involving supercritical Sobolev exponent

DOI10.1007/s10440-011-9618-6zbMath1229.35260OpenAlexW1986937091MaRDI QIDQ637503

Yanqin Fang, Ji Hui Zhang

Publication date: 6 September 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9618-6

zbMATH Keywords

nonlinear Schrödinger equationLjusternik-Schnirelmann theorysupercritical Sobolev exponent

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• On a class of elliptic systems in \(\mathbb R^N\) involving supercritical Sobolev exponent
• Multiplicity of solutions for elliptic systems via local mountain pass method
• Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
• Existence theorems for elliptic equations involving supercritical Sobolev exponent
• On the location and profile of spike-layer nodal solutions to nonlinear Schrödinger equations
• Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
• Multiple positive solutions for a quasilinear system of Schrödinger equations
• Local mountain pass for a class of elliptic system
• Multiplicity of Positive Solutions For a Quasilinear Problem in IR^N Via Penalization Method
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations

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