A 𝐶⁰-theory for the blow-up of second order elliptic equations of critical Sobolev growth

DOI10.1090/S1079-6762-03-00108-2zbMath1061.58020MaRDI QIDQ4708802

Emmanuel Hebey, Frédéric Robert, Olivier Druet

Publication date: 19 June 2003

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229802

zbMATH Keywords

bubblescritical elliptic equationsblow-up behaviour

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Asymptotic estimates and blow-up theory for critical equations involving the \(p\)-Laplacian ⋮ Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary ⋮ Blowing up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundary ⋮ Interior estimates for some semilinear elliptic problem with critical nonlinearity ⋮ Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary ⋮ Blow-up examples for second order elliptic PDEs of critical Sobolev growth ⋮ Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities ⋮ Elliptic equations with critical growth and a large set of boundary singularities ⋮ Pointwise expansion of degenerating immersions of finite total curvature

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