Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
Top Cited Papers
- 1 May 2013
- journal article
- Published by Elsevier BV in Journal of Mathematical Analysis and Applications
- Vol. 401 (1), 407-415
- https://doi.org/10.1016/j.jmaa.2012.12.035
Abstract
No abstract availableKeywords
This publication has 23 references indexed in Scilit:
- Existence and multiplicity results for a nonlinear stationary Schrödinger equationAnnales Polonici Mathematici, 2010
- Bound states for semilinear Schrödinger equations with sign-changing potentialCalculus of Variations and Partial Differential Equations, 2007
- Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear termsJournal of Differential Equations, 2006
- Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearitiesCalculus of Variations and Partial Differential Equations, 2004
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝNProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999
- Existence and multiplicity results for some superlinear elliptic problems on RNCommunications in Partial Differential Equations, 1995
- Existence of entire solutions for some elliptic systemsBulletin of the Australian Mathematical Society, 1994
- Remarks on a semilinear elliptic equation on RnJournal of Differential Equations, 1988
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinityNonlinear Analysis, 1983
- Dual variational methods in critical point theory and applicationsJournal of Functional Analysis, 1973