TITLE

The existence of k-convex hypersurface with prescribed mean curvature

AUTHOR(S)
Han, Fei; Ma, Xi-Nan; Wu, Damin
PUB. DATE
September 2011
SOURCE
Calculus of Variations & Partial Differential Equations;Sep2011, Vol. 42 Issue 1/2, p43
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Using the strong maximum principle, we obtain a constant rank theorem for the k-convex solutions of semilinear elliptic partial differential equations. As an application we obtain an existence theorem of k-convex starshaped hypersurface with prescribed mean curvature in Rn+1.
ACCESSION #
62869047

 

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