On the lower and upper solution method for the prescribed mean curvature equation in Minkowski space

Chiara Corsato, Franco Obersnel, Pierpaolo Omari, Sabrina Rivetti

Publication date: 21 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=9200

zbMATH Keywords

elliptic existence multiplicity lower and upper solutions Minkowski space partial differential equation mean curvature quasilinear Dirichlet condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75) Quasilinear elliptic equations with mean curvature operator (35J93)

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