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

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

2010-12-27

arxiv.org/abs/1012.5662v1

Adv. Nonlinear Stud. 7 (2007), no. 3, 439-458

Mathematics

Analysis of PDEs

Scientific paper

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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