Asymptotics for quasilinear equations with nearly critical growth.
Marhrani El-Miloudi, Alain Brillard (1997)
Extracta Mathematicae
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Marhrani El-Miloudi, Alain Brillard (1997)
Extracta Mathematicae
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Micol Amar, Adriana Garroni (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this paper, we use -convergence techniques to study the following variational problem where , with , and is a bounded domain of , . We obtain a -convergence result, on which one can easily read the usual concentration phenomena arising in critical growth problems. We extend the result to a non-homogeneous version of problem . Finally, a second order expansion in -convergence permits to identify the concentration points of the maximizing sequences,...
M. Flucher, S. Müller (1999)
Annales de l'I.H.P. Analyse non linéaire
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Francesca Lascialfari, David Pardo (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Elves A. B. Silva, Magda S Xavier (2003)
Annales de l'I.H.P. Analyse non linéaire
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J. Chabrowski, Jianfu Yang (2001)
Colloquium Mathematicae
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We consider the Neumann problem for an elliptic system of two equations involving the critical Sobolev nonlinearity. Our main objective is to study the effect of the coefficient of the critical Sobolev nonlinearity on the existence and nonexistence of least energy solutions. As a by-product we obtain a new weighted Sobolev inequality.
Olivier Druet (2002)
Annales de l'I.H.P. Analyse non linéaire
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