Abstract
We consider the problem $\Delta u+V(x)u=f'(u)$ in $\mathbb R^N$. Here the nonlinearity has a double power behavior and $V$ is invariant under an orthogonal involution, with $V(\infty)=0$. An existence theorem of one pair of solutions which changes sign exactly once is given.
Citation
M. Ghimenti. A. M. Micheletti. "Existence of minimal nodal solutions for the nonlinear Schrödinger equations with $V(\infty)=0$." Adv. Differential Equations 11 (12) 1375 - 1396, 2006. https://doi.org/10.57262/ade/1355867589
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