Abstract
We consider the problem $- \Delta u+V(x)u=f^{\prime}(u)+g(x)$ in $\mathbb R^N$, under the assumption $\lim_{x\rightarrow\infty}V(x)=0$, and with the nonlinear term $f$ with a double power behavior. We prove the existence two solutions when $g$ is sufficiently small and $V < 0$.
Citation
M. Ghimenti. A. M. Micheletti. "Solutions for a nonhomogeneous nonlinear Schroedinger equation with double power nonlinearity." Differential Integral Equations 20 (10) 1131 - 1152, 2007. https://doi.org/10.57262/die/1356039299
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