Variational Method Based on Finite Dimensional Approximation in a Generalized Prescribed Mean Curvature Problem
An elementary existence proof based on variational and finite dimensional approximation methods is proposed for nontrivial solutions of the generalized prescribed mean curvature boundary value problem (view the source) which has been studied otherwise by elaborated abstract theories.
V. K. Le, "Variational Method Based on Finite Dimensional Approximation in a Generalized Prescribed Mean Curvature Problem," Journal of Differential Equations, Elsevier, May 2009.
The definitive version is available at http://dx.doi.org/10.1016/j.jde.2008.11.015
Mathematics and Statistics
Keywords and Phrases
finite dimensional approximation; function of bounded variation; mountain pass theorem; prescribed mean curvature; variational inequality
Article - Journal
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