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Best constants for supercritical Sobolev inequalities and application to some quasilinear supercritical elliptic equations of scalar curvature type

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Publication:1972903
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DOI10.1016/S0007-4497(99)00118-9zbMath0947.35047MaRDI QIDQ1972903

D. Iliopoulos

Publication date: 7 June 2000

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)


zbMATH Keywords

best constants for Sobolev inequalitypositive invariant solutionsscalar curvature type equationsupercritical Sobolev inequality


Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20) Inequalities involving derivatives and differential and integral operators (26D10)


Related Items

Sharp Nash inequalities on the unit sphere: the influence of symmetries, Nonlinear elliptic equations on \(S_n\) in the supercritical case



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