Existence of ground states and free-boundary problems for the prescribed mean-curvature equation

zbMath1208.35181MaRDI QIDQ1407735

Monica Conti, Gazzola, Filippo

Publication date: 10 November 2003

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

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)

Related Items (13)

Minimum action solutions for a quasilinear equation ⋮ Quasilinear elliptic equations in \(\mathbb{R }^{N}\) via variational methods and Orlicz-Sobolev embeddings ⋮ Ground states of a prescribed mean curvature equation ⋮ Oscillating solutions for prescribed mean curvature equations: Euclidean and Lorentz-Minkowski cases ⋮ Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions ⋮ Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity ⋮ Exact number of solutions of a one-dimensional prescribed mean curvature equation with concave-convex nonlinearities ⋮ Positive solutions of the Dirichlet problem for the prescribed mean curvature equation ⋮ Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations ⋮ Classical and non-classical solutions of a prescribed curvature equation ⋮ On a sub-supersolution method for the prescribed mean curvature problem ⋮ Variational method based on finite dimensional approximation in a generalized prescribed mean curvature problem ⋮ Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain

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