On superlinear Schrödinger equations with periodic potential

DOI10.1007/s00526-011-0447-2zbMath1247.35149OpenAlexW2046389330MaRDI QIDQ453738

Shibo Liu

Publication date: 27 September 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0447-2

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities
• Ground states of nonlinear Schrödinger equations with potentials
• On ground states of superlinear \(p\)-Laplacian equations in R\(^N\)
• Ground state solutions for some indefinite variational problems
• Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Multi-bump solutions for a strongly indefinite semilinear Schrödinger equation without symmetry or convexity assumptions
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
• Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
• On the Ambrosetti-Rabinowitz Superlinear Condition
• Nontrivial solution of a semilinear schrödinger equation
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
• Unnamed Item

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