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arXiv · 1012.5662

On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N

Jacopo Bellazzini·Vieri Benci·Marco G. Ghimenti·A. M. Micheletti
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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.

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Jacopo Bellazzini, Vieri Benci, Marco G. Ghimenti, A. M. Micheletti. 2010-12-27. On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N. https://arxiv.org/abs/1012.5662

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