Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity
Analysis of PDEs
2010-12-30 v1
Abstract
We consider the problem -\Delta u+V(x)u = f'(u)+g(x) in RN, under the assumption limx \rightarrow \infty V (x) = 0, and with the non linear term f with a double power behavior. We prove the existence two solutions when g is sufficiently small and V < 0.
Keywords
Cite
@article{arxiv.1012.5612,
title = {Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity},
author = {Marco G. Ghimenti and Anna Maria Micheletti},
journal= {arXiv preprint arXiv:1012.5612},
year = {2010}
}