We study the existence of different types of positive solutions to problem {Mathematical expression}where {Mathematical expression}, {Mathematical expression}, and {Mathematical expression} is the critical Sobolev exponent. 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 obtained for ν = 0. © 2008 Springer-Verlag.
Abdellaoui, B., Felli, V., & Peral, I. (2009). Some remarks on systems of elliptic equations doubly critical in the whole R^N. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 34(1), 97-137 [10.1007/s00526-008-0177-2].
Citazione: | Abdellaoui, B., Felli, V., & Peral, I. (2009). Some remarks on systems of elliptic equations doubly critical in the whole R^N. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 34(1), 97-137 [10.1007/s00526-008-0177-2]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Some remarks on systems of elliptic equations doubly critical in the whole R^N | |
Autori: | Abdellaoui, B; Felli, V; Peral, I | |
Autori: | ||
Data di pubblicazione: | 2009 | |
Lingua: | English | |
Rivista: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00526-008-0177-2 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
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