A -theory for the blow-up of second order elliptic equations of critical Sobolev growth.
Druet, Olivier, Hebey, Emmanuel, Robert, Frédéric (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “Positive solutions of critical semilinear elliptic equations on non-contractible planar domains”
A -theory for the blow-up of second order elliptic equations of critical Sobolev growth.
Positive solutions of critical quasilinear elliptic problems in general domains.
Gazzola, Filippo (1998)
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Alves, C.O., Concalves, J.V., Maia, L.A. (1996)
Abstract and Applied Analysis
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J. Chabrowski, P. Drábek (2002)
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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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J. Chabrowski, E. Tonkes (2003)
Annales Polonici Mathematici
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We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.
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Molle, Riccardo, Passaseo, Donato (2004)
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Nontrivial solutions for a class of superquadratic elliptic equations
Chun Li, Zeng-Qi Ou, Chun-Lei Tang (2013)
Studia Mathematica
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Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.
On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth
Candela, Anna Maria, Squassina, Marco (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30 By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type. The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study...
Multiplicity of positive solutions of nonlinear elliptic equations with critical sobolev exponent in some contractible domains.
Donato Passaseo (1989)
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Paul H. Rabinowitz (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.
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El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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