Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840234 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 10 Pages |
Abstract
In this paper, we are concerned with power convexity of a class of fully nonlinear elliptic equations involving the Hessian operator in a bounded and strictly convex domain in R3R3. We use the constant rank theorem and deformation technique to prove that some power of the smooth admissible solution is strictly convex. As a corollary, we deduce that all the level sets of the solution are strictly convex.
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Authors
Yunhua Ye,