Variational Method Based on Finite Dimensional Approximation in a Generalized Prescribed Mean Curvature Problem
Abstract
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.
Recommended Citation
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 https://doi.org/10.1016/j.jde.2008.11.015
Department(s)
Mathematics and Statistics
Keywords and Phrases
finite dimensional approximation; function of bounded variation; mountain pass theorem; prescribed mean curvature; variational inequality
International Standard Serial Number (ISSN)
0022-0396
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2009 Elsevier, All rights reserved.
Publication Date
01 May 2009
