Estimates of sup \(\times\) inf type on a compact manifold

DOI10.1016/j.bulsci.2006.01.005zbMath1137.58007OpenAlexW2046100374MaRDI QIDQ865895

Samy Skander Bahoura

Publication date: 20 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.01.005

zbMATH Keywords

manifold with boundary\(\sup \times \inf\)minoration

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items

Harnack inequalities for elliptic operators of order 2 and 4, and concentration phenomena.

Cites Work

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• Harnack type inequality: The method of moving planes
• A sup+inf inequality for some nonlinear elliptic equations involving exponential nonlinearities
• Différentes estimations de \(\sup u\times \inf u\) pour l'équation de la courbure scalaire prescrite en dimension \(n\geqslant 3\). (Various estimates of \(\sup u\times \inf u\) for the equation of prescribed scalar curvature in dimension \(n\geqslant 3\))
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness