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.
On the existence of the fundamental eigenvalues of an elliptic problem in R^N
BELLAZZINI J;BENCI, VIERI;GHIMENTI, MARCO GIPO;MICHELETTI, ANNA MARIA
2007-01-01
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.File in questo prodotto:
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