On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N
Analysis of PDEs
2010-12-30 v1
Abstract
We study an eigenvalue problem for functions in R^N 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 Schroedinger equation.
Keywords
Cite
@article{arxiv.1012.5662,
title = {On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N},
author = {Jacopo Bellazzini and Vieri Benci and Marco G. Ghimenti and A. M. Micheletti},
journal= {arXiv preprint arXiv:1012.5662},
year = {2010}
}