Variational method based on finite dimensional approximation in a generalized prescribed mean curvature problem

DOI10.1016/j.jde.2008.11.015zbMath1166.53006OpenAlexW2088964166MaRDI QIDQ1018375

Vy Khoi Le

Publication date: 19 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.11.015

zbMATH Keywords

variational inequalitymountain pass theoremfunction of bounded variationprescribed mean curvaturefinite dimensional approximation

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational methods involving nonlinear operators (47J30) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items

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 ⋮ Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space ⋮ Existence of positive solutions of one-dimensional prescribed mean curvature equation ⋮ Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations ⋮ Exact number of solutions of a prescribed mean curvature equation ⋮ Existence of a BV solution for a mean curvature equation ⋮ On the multiplicity of nodal solutions of a prescribed mean curvature problem

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