Asymptotically linear Schrödinger equations with sign-changing potential

DOI10.1016/J.NA.2010.02.029zbMath1190.35074OpenAlexW2082222102MaRDI QIDQ975240

Haiyang He, Dong Xiang Chen

Publication date: 9 June 2010

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.2010.02.029

zbMATH Keywords

Schrödinger equationsasymptotically linearsign-changing potentiallinking structure

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Cites Work

• Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
• Bound states for semilinear Schrödinger equations with sign-changing potential
• Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
• A unified approach to a class of strongly indefinite functionals
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Differential systems with strongly indefinite variational structure
• Asymptotically Linear Elliptic Systems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Positive splutions of semilinear elliptic systems
• On Superquadratic Elliptic Systems
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
• The existence of a positive solution to asymptotically linear scalar field equations
• On a class of asymptotically linear elliptic problems in \(\mathbb R^N\)

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