Harnack type inequality for quasilinear elliptic equations on hypersurfaces with prescribed mean curvature

DOI10.1007/BF02413184zbMath0539.35025MaRDI QIDQ793902

Gabriele Anzellotti

Publication date: 1979

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

minimal surfacesquasilinear elliptic equationsnon-negative solutions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Cites Work

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• Frontiere orientate di curvatura media assegnata in \(L^p\)
• Una maggiovazione integrale per le curvature delle ipersuperfici minimali
• Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
• Harnack's inequality for elliptic differential equations on minimal surfaces
• On harnack type inequalities and their application to quasilinear elliptic equations
• Local estimates for the gradient of non‐parametric surfaces of prescribed mean curvature

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