On a semi-linear Schrödinger equation in \(\mathbb R^{N}\)

DOI10.1016/J.NA.2005.03.087zbMath1080.35147OpenAlexW2073883214MaRDI QIDQ2488260

Fei-Zhi Wang, Yi Sheng Huang

Publication date: 25 August 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.087

zbMATH Keywords

Schrödinger equationCritical Sobolev exponent

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (4)

A copula-based approach for generating lattices ⋮ Multiple solutions for some nonlinear Schrödinger equations with indefinite linear part ⋮ On a class of Schrödinger equations in \(\mathbb R^N\) with indefinite linear part ⋮ Multiple solutions for some Schrödinger equations with convex and critical nonlinearities in \(\mathbb R^N\)

Cites Work

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• Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
• Existence theorems for the Schrödinger equation involving a critical Sobolev exponent
• Minimax theorems
• On spectral theory of elliptic operators
• Existence and multiplicity results for a class of Schrödinger equations with indefinite nonlinearities
• On a semilinear Schrödinger equation with critical Sobolev exponent
• On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth

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