Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity

Details Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity

2010-12-27

arxiv.org/abs/1012.5612v1

Differential Integral Equations 20 (2007), no. 10, 1131-1152

Mathematics

Analysis of PDEs

Scientific paper

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.

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