Positive solutions of the Dirichlet problem for the prescribed mean curvature equation

DOI10.1016/j.jde.2010.07.001zbMath1207.35145OpenAlexW2036529126MaRDI QIDQ1958444

Franco Obersnel, Pierpaolo Omari

Publication date: 29 September 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.07.001

zbMATH Keywords

weak solutionexistencemultiplicitylower and upper solutionsregularizationvariational methodspositive solutionstrong solutionprescribed mean curvature equationbounded variation solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with mean curvature operator (35J93)

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