On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in ℝN

Author:

Bellazzini J.1,Ghimenti V. Benci M.1,Micheletti A.M.1

Affiliation:

1. Dipartimento di Matematica Applicata, Universitá di Pisa, Via Buonarroti 1/C 56127 PISA -Italy

Abstract

Abstract We study an eigenvalue problem for functions in ℝN and we find sufficient conditions for the existence of the fundamental eigenvalue. This result can be applied to the study of the orbital stability of the standing waves of the nonlinear Schrödinger equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Reference10 articles.

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