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- Title
On positive solutions of the Dirichlet problem involving the extrinsic mean curvature operator.
- Authors
Ruyun Ma; Tianlan Chen; Hongliang Gao
- Abstract
In this paper, we are concerned with necessary conditions for the existence of positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space -div(∇u/∇ 1 - ∣∇u∣2) = f (u) in Ω, u = 0 on ∂, whose supremum norm bears a certain relationship to zeros of the nonlinearity f.
- Subjects
DIRICHLET forms; CURVATURE measurements; MATHEMATICS theorems; MATHEMATICAL formulas; MINKOWSKI space
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2016, Issue 1-122, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2016.1.98