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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Displaying similar documents to “A nonexistence theorem for an equation with critical Sobolev exponent in the half space.”
Multiplicity of positive solutions of nonlinear elliptic equations with critical sobolev exponent in some contractible domains.
Solutions of elliptic equations involving critical Sobolev exponents with Neumann boundary conditions.
Myriam Comte, Mariette C. Knaap (1990)
Manuscripta mathematica
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Multiplicity results for an inhomogeneous Neumann problem with critical exponent.
Gabriella Tarantello (1993)
Manuscripta mathematica
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On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent
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.
On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
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.
A Note on the Problem -...u = ...u + u| u|2*-2.
M. Struwe, A. Ambrosetti (1986)
Manuscripta mathematica
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On the p-biharmonic operator with critical Sobolev exponent
Abdelouahed El Khalil, My Driss Morchid Alaoui, Abdelfattah Touzani (2014)
Applicationes Mathematicae
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We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.
A free boundary problem involving limiting Sobolev exponents.
Giovanni Mancini, Roberta Musina (1987)
Manuscripta mathematica
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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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On elliptic systems pertaining to the Schrödinger equation
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.
On multiple solutions of the Neumann problem involving the critical Sobolev exponent
Jan Chabrowski (2004)
Colloquium Mathematicae
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We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundary condition. We establish the existence of two solutions. We use the method of sub- and supersolutions, a local minimization and the mountain-pass principle.
Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent
Xing Zhang, Xia Zhang, Yongqiang Fu (2010)
Annales Polonici Mathematici
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We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.
An existence result for nonlinear elliptic problems involving critical Sobolev exponent
A. Capozzi, D. Fortunato, G. Palmieri (1985)
Annales de l'I.H.P. Analyse non linéaire
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Semilinear Dirichlet problem with nearly critical exponent asymptotic location of Hot spots.
Martin Flucher, W. Juncheng (1997)
Manuscripta mathematica
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Critical exponent and minimization problem in
Samira Benmouloud-Sbai, Mohamed Guedda (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Positive solutions of critical quasilinear elliptic problems in general domains.
Gazzola, Filippo (1998)
Abstract and Applied Analysis
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