Nabla theorems and multiple solutions for some noncooperative elliptic systems
Keywords
Nabla theorems, strongly indefinite functionals, limit relative category, reaction-diffusion elliptic systemsAbstract
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.Downloads
Published
2001-06-01
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MARINO, Antonio and SACCON, Claudio. Nabla theorems and multiple solutions for some noncooperative elliptic systems. Topological Methods in Nonlinear Analysis. Online. 1 June 2001. Vol. 17, no. 2, pp. 213 - 237. [Accessed 23 April 2024].
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