We study the existence of different types of positive solutions to systems of elliptic equations con critical growth and singular potentials. A careful analysis of the behavior of Palais-Smale sequences is performed to recover compactness for some ranges of energy levels and to prove the existence of ground state solutions and mountain pass critical points of the associated functional on the Nehari manifold. A variational perturbative method is also used to study the existence of a non trivial manifold of positive solutions which bifurcates from the manifold of solutions to the uncoupled system corresponding to the unperturbed problem.

Felli, V., & Conti, M. (2008). Coexistence and segregation for strongly competing species in special domains. INTERFACES AND FREE BOUNDARIES, 10(2), 173-195 [10.4171/IFB/185].

Coexistence and segregation for strongly competing species in special domains

FELLI, VERONICA;
2008

Abstract

We study the existence of different types of positive solutions to systems of elliptic equations con critical growth and singular potentials. A careful analysis of the behavior of Palais-Smale sequences is performed to recover compactness for some ranges of energy levels and to prove the existence of ground state solutions and mountain pass critical points of the associated functional on the Nehari manifold. A variational perturbative method is also used to study the existence of a non trivial manifold of positive solutions which bifurcates from the manifold of solutions to the uncoupled system corresponding to the unperturbed problem.
Articolo in rivista - Articolo scientifico
strongly competing multispecies systems, homogeneous Dirichlet boundary conditions, segregation phenomena
English
Felli, V., & Conti, M. (2008). Coexistence and segregation for strongly competing species in special domains. INTERFACES AND FREE BOUNDARIES, 10(2), 173-195 [10.4171/IFB/185].
Felli, V; Conti, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/2859
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