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Convexity of solutions and estimates for fully nonlinear elliptic equations

✍ Scribed by Cyril Imbert


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
213 KB
Volume
85
Category
Article
ISSN
0021-7824

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Convexity estimates for nonlinear ellipt
✍ Jean Dolbeault; RΓ©gis Monneau πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 187 KB

We prove the convexity of the set which is delimited by the free boundary corresponding to a quasi-linear elliptic equation in a 2-dimensional convex domain. The method relies on the study of the curvature of the level lines at the points which realize the maximum of the normal derivative at a given