Multiplicity of positive solutions of nonlinear elliptic equations with critical sobolev exponent in some contractible domains.
Donato Passaseo (1989)
Manuscripta mathematica
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Donato Passaseo (1989)
Manuscripta mathematica
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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.
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Mathematische Annalen
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Journal of the European Mathematical Society
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For semilinear elliptic equations of critical exponential growth we establish the existence of positive solutions to the Dirichlet problem on suitable non-contractible domains.
Michael Struwe (1982)
Mathematische Annalen
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Gazzola, Filippo (1998)
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Tetsuya Ozawa (1986)
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N.S. Papageorgiou, E.M. Rocha (2009)
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R.H. jr. Martin (1974)
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Druet, Olivier, Hebey, Emmanuel, Robert, Frédéric (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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