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 “On elliptic systems pertaining to the Schrödinger equation”
A -theory for the blow-up of second order elliptic equations of critical Sobolev growth.
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.
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 quasilinear elliptic equations in .
Alves, C.O., Concalves, J.V., Maia, L.A. (1996)
Abstract and Applied Analysis
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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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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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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 some nonlinear elliptic systems with coercive perturbation in R.
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.
A finite-dimensional reduction method for slightly supercritical elliptic problems.
Molle, Riccardo, Passaseo, Donato (2004)
Abstract and Applied Analysis
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A nonexistence theorem for an equation with critical Sobolev exponent in the half space.
H. Berestycki, M. Gross, F. Pacella (1992)
Manuscripta mathematica
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Multiple solutions of a nonlinear elliptic equation involving Neumann conditions and a critical Sobolev exponent
J. Chabrowski, Jianfu Yang (2003)
Rendiconti del Seminario Matematico della Università di Padova
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An elliptic problem with critical exponent and positive Hardy potential.
Chen, Shaowei, Li, Shujie (2004)
Abstract and Applied Analysis
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Positive solutions of critical semilinear elliptic equations on non-contractible planar domains
Michael Struwe (2000)
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.
An approximation theorem for solutions of degenerate semilinear elliptic equations
Albo Carlos Cavalheiro (2017)
Communications in Mathematics
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The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Solutions of elliptic equations involving critical Sobolev exponents with Neumann boundary conditions.
Myriam Comte, Mariette C. Knaap (1990)
Manuscripta mathematica
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Existence and nonexistence results for a class of quasilinear elliptic systems.
El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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