Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616589 | Journal of Mathematical Analysis and Applications | 2013 | 13 Pages |
Abstract
We prove the existence of multiple positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space {−div(∇u/1−|∇u|2)=f(x,u,∇u)in Ω,u=0on ∂Ω. Here ΩΩ is a bounded regular domain in RNRN and the function f=f(x,s,ξ)f=f(x,s,ξ) is either sublinear, or superlinear, or sub-superlinear near s=0s=0. The proof combines topological and variational methods.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chiara Corsato, Franco Obersnel, Pierpaolo Omari, Sabrina Rivetti,