Global behaviour and symmetry properties of singular solutions of nonlinear elliptic equations

DOI10.5802/afst.601zbMath0561.35031OpenAlexW2321691732MaRDI QIDQ5186055

Laurent Véron

Publication date: 1984

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1984_5_6_1_1_0

zbMATH Keywords

uniquenessexterior domainsingular solutionsisotropic limitspherical symmetric solutionspower like growth

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (15)

Asymptotic behaviour of solutions of semi-linear elliptic equations in \({\mathbb{R}}^ n\) ⋮ Singular solutions of some quasilinear elliptic equations ⋮ Boundary singular solutions of a class of equations with mixed absorption-reaction ⋮ Local behavior of solutions to a biharmonic equation with isolated singularity ⋮ Singular solutions of some elliptic equations involving mixed absorption-reaction ⋮ Are solutions of almost radial nonlinear elliptic equations almost radial? ⋮ Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity ⋮ Boundary singularities of solutions of some nonlinear elliptic equations ⋮ Partial differential equations. Transl. from the Russian ⋮ Asymptotic symmetries for conformal scalar curvature equations with singularity ⋮ Asymptotic behavior of solutions of nonlinear elliptic equations ⋮ Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\) ⋮ Radial symmetry of positive solutions of nonlinear elliptic equations ⋮ Singularities of elliptic equations with an exponential nonlinearity ⋮ Isolated singularities of some semilinear elliptic equations

Cites Work

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• Symmetry and related properties via the maximum principle
• Removable singularities for some nonlinear elliptic equations
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• The Thomas-Fermi theory of atoms, molecules and solids
• Nonlinear problems related to the Thomas-Fermi equation
• Some aspects of the Thomas-Fermi equation
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Schrödinger operators with singular potentials
• Equations d'évolution du second ordre associees à des opérateurs monotones
• Singular solutions of some nonlinear elliptic equations
• Asymptotische Integration der Differentialgleichung des Thomas-Fermischen Atoms
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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