Singularités éliminables d'équations elliptiques non linéaires

DOI10.1016/0022-0396(81)90054-1zbMath0431.35005OpenAlexW1971540279MaRDI QIDQ1138147

Laurent Véron

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90054-1

zbMATH Keywords

elliptic problemregularity of solutionsWeyl formularemovable singularitiesclosed submanifold

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Analyticity in context of PDEs (35A20) Propagation of singularities; initial value problems on manifolds (58J47)

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Strong stability results for solutions of elliptic equations with power-like lower order terms and measure data ⋮ Removable boundary singularities for solutions of some nonlinear differential equations ⋮ Variants of Kato's inequality and removable singularities ⋮ Prescribed singular submanifolds of some quasilinear elliptic equations ⋮ Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds ⋮ On singular solutions for a semilinear elliptic equation ⋮ Solutions of some nonlinear elliptic problems, which are singular on a submanifold ⋮ Local behaviour of the solutions of the Chipot-Weissler equation ⋮ Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem ⋮ On fully nonlinear Loewner-Nirenberg problem of Ricci curvature ⋮ Local estimates for conformal \(Q\)-curvature equations ⋮ Solutions with time-dependent singular sets for the heat equation with absorption ⋮ Removable singularities and singular solutions of semilinear elliptic equations ⋮ Boundary singularities of solutions of some nonlinear elliptic equations ⋮ Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem ⋮ Classification of singular radial solutions to the \(\sigma_k\) Yamabe equation on annular domains ⋮ Existence of positive solutions to with prescribed singularities and their geometric implications ⋮ Singularités éliminables pour des équations semi-linéaires ⋮ Isolated singularities of some semilinear elliptic equations

Cites Work

• Removable singularities for some nonlinear elliptic equations
• Schrödinger operators with singular potentials
• Singular solutions of some nonlinear elliptic equations
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