Abstract
This paper is concerned with the existence of saddle type solutions for a class of semilinear elliptic equations of the type \begin{equation} \Delta u(x)+F_{u}(x,u)=0,\quad x\in\mathbb R^{n},\;\; n\ge 2, \tag*{(PDE)} \end{equation} where $F$ is a periodic and symmetric nonlinearity. Under a non degeneracy condition on the set of minimal periodic solutions, saddle type solutions of $(PDE)$ are found by a renormalized variational procedure.
Citation
Francesca Alessio. Giuseppina Alessio. Piero Montecchiari. "Saddle type solutions for a class of reversible elliptic equations." Adv. Differential Equations 21 (1/2) 1 - 30, January/February 2016. https://doi.org/10.57262/ade/1448323162
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