Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications.

DOI10.1016/S0021-7824(03)00018-7zbMath1043.58010WikidataQ115340559 ScholiaQ115340559MaRDI QIDQ1408908

Marcos Montenegro, Rodney Josué Biezuner

Publication date: 25 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentSobolev inequalitiesconcentration-compactness principle

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05)

Related Items (7)

On the best constants in Sobolev inequalities on the solid torus in the limit case \(p = 1\) ⋮ Degenerate elliptic inequalities with critical growth ⋮ Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds ⋮ Existence and multiplicity results for nonlinear critical Neumann problem on compact Riemannian manifolds ⋮ Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications. ⋮ Second-order Sobolev inequalities on a class of Riemannian manifolds with nonnegative Ricci curvature ⋮ On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries

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