Abstract
We study some variational principles which imply the existence of multiple critical points for a functional $f$, using the properties of both $f$ and $\nabla f$ on some suitable sets. We derive some multiplicity theorems for a certain class of strongly indefinite functionals and we apply these results for finding multiple solutions of an elliptic system of reaction-diffusion type.
Citation
Antonio Marino. Claudio Saccon. "Nabla theorems and multiple solutions for some noncooperative elliptic systems." Topol. Methods Nonlinear Anal. 17 (2) 213 - 237, 2001.
Information