Nabla theorems and multiple solutions for some noncooperative elliptic systems
KeywordsNabla theorems, strongly indefinite functionals, limit relative category, reaction-diffusion elliptic systems
AbstractWe 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.
How to Cite
MARINO, Antonio & SACCON, Claudio. Nabla theorems and multiple solutions for some noncooperative elliptic systems. Topological Methods in Nonlinear Analysis [online]. 1 June 2001, T. 17, nr 2, s. 213–237. [accessed 1.2.2023].
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