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- Title
Standing wave solutions of a quasilinear degenerate Schrödinger equation with unbounded potential.
- Authors
Chorfi, Nejmeddine; Rădulescu, Vicenţiu D.
- Abstract
We are concerned with the existence of entire distributional nontrivial solutions for a new class of nonlinear partial differential equations. The differential operator was introduced by A. Azzolini et al. [3, 4] and it is described by a potential with different growth near zero and at infinity. The main result generalizes a property established by P. Rabinowitz in relationship with the existence of nontrivial standing waves of the Schrödinger equation with lack of compactness. The proof combines arguments based on the mountain pass and energy estimates.
- Subjects
PARTIAL differential equations; ESTIMATION theory; MATHEMATICAL formulas; VECTOR analysis; STOCHASTIC convergence
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2016, Issue 1-122, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2016.1.37