Asymptotic in Sobolev spaces for symmetric Paneitz-type equations on Riemannian manifolds

DOI10.1007/s00526-008-0213-2zbMath1171.35045OpenAlexW2036599653WikidataQ115387600 ScholiaQ115387600MaRDI QIDQ1016549

Nicolas Saintier

Publication date: 6 May 2009

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

Full work available at URL: https://doi.org/10.1007/s00526-008-0213-2

zbMATH Keywords

Sobolev spacesasymptotic behaviourReimannian manifoldPaneitz-type equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Local existence conditions for an equations involving the \(p(x)\)-Laplacian with critical exponent in \(\mathbb R^N\) ⋮ Best constant in critical Sobolev inequalities of second-order in the presence of symmetries

Cites Work

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• Positive solutions for a fourth order equation invariant under isometries
• Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients

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