Study of nonlinear elliptic problems of fourth order with critical exponents on compact Riemannian manifolds

DOI10.1016/S0021-7824(03)00068-0zbMath1050.58016MaRDI QIDQ1429974

Daniela Caraffa

Publication date: 27 May 2004

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

zbMATH Keywords

compact Riemannian manifoldselliptic partial differential equationsnonlinear elliptic problemsfourth ordercritical Sobolev exponent.nonlinear critical problems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32) Variational methods for higher-order elliptic equations (35J35)

Related Items

On a fourth order Lichnerowicz type equation involving the Paneitz-Branson operator ⋮ Harnack inequalities for elliptic operators of order 2 and 4, and concentration phenomena.

Cites Work

• Problèmes isoperimetriques et espaces de Sobolev
• Elliptic equations of fourth-order with critical exponents on compact Riemannian manifolds
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