The Dirichlet problem with mean curvature operator in Minkowski space -- a variational approach (Q2923138)
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scientific article; zbMATH DE number 6355872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirichlet problem with mean curvature operator in Minkowski space -- a variational approach |
scientific article; zbMATH DE number 6355872 |
Statements
15 October 2014
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Minkowski mean curvature
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Dirichlet problem
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multiple non-negative solutions
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non-smooth critical point theory
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mountain pass theorem
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The Dirichlet problem with mean curvature operator in Minkowski space -- a variational approach (English)
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This paper deals with a class of nonlinear variational problems with Dirichlet boundary condition and bounded nonlinearity. The main feature of the present paper is the study in the Minkowski space. By means of variational arguments, the authors establish several qualitative results. An application to the study of nontrivial solutions for a class of nonlinear Dirichlet problems depending on a parameter is provided in the final part of this paper.
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