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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2003 Volume 37, Issue 1, Pages 88–91 (Mi faa141)
This article is cited in 17 papers

Brief communications

On Nontrivial Solutions of a Nonlinear Schrödinger Equation with Magnetic Field

A. A. Pankov

Vinnitsa State Pedagogical University

Abstract: We consider nonlinear magnetic Schrödinger equations under assumptions that imply the Palais–Smale condition for the corresponding functional and prove some results on the existence and multiplicity of solutions vanishing at infinity.

Keywords: nonlinear Schrödinger equation, Palais–Smale condition, multiplicity.

UDC: 517.97

Received: 05.03.2002

DOI: 10.4213/faa141


 English version: Functional Analysis and Its Applications, 2003, 37:1, 75–77

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