Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
Elves A. B. Silva, Magda S Xavier (2003)
Annales de l'I.H.P. Analyse non linéaire
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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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Giampiero Palatucci (2011)
Rendiconti del Seminario Matematico della Università di Padova
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J. Chabrowski (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Gazzola, Filippo (1998)
Abstract and Applied Analysis
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Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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J. Chabrowski, P. Drábek (2002)
Studia Mathematica
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We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
Giovanni Mancini, Roberta Musina (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Said El Manouni, Abdelfattah Touzani (2003)
Revista Matemática Complutense
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A nonlinear elliptic system involving the p-Laplacian is considered in the whole R. Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.