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Positive solutions of \(\Delta u+u^p=0\) whose singular set is a manifold with boundary

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Publication:1404469
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DOI10.1007/s00526-002-0165-xzbMath1290.35095OpenAlexW2069389814MaRDI QIDQ1404469

Saadia Fakhi

Publication date: 21 August 2003

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-002-0165-x



Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Applications of operator theory to differential and integral equations (47N20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)


Related Items (5)

Hardy inequalities and dynamic instability of singular Yamabe metrics ⋮ Singular solutions for the constant \(Q\)-curvature problem ⋮ Removable singularities and singular solutions of semilinear elliptic equations ⋮ Singular solutions of fractional order conformal Laplacians ⋮ Large solutions for Yamabe and similar problems on domains in Riemannian manifolds




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