Paola Cuoghi, Paolo Salani
We find suitable assumptions for the quasi-concave envelope of a solution (or a subsolution) of an elliptic equation (possibly fully nonlinear) to be a viscosity subsolution of the same equation. We apply this result to study the convexity of level sets of solutions to elliptic Dirichlet problems in a convex ring .
Submitted June 23, 2005. Published October 11, 2006.
Math Subject Classifications: 35J25, 35J65.
Key Words: Elliptic equations; convexity of level sets; quasi-concave envelope.
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| Paola Cuoghi |
Dipt. di Matematica Pura e Applicata
Universitá degli Studi di Modena e Reggio Emilia
via Campi 213/B, 41100 Modena -Italy
| Paolo Salani |
Dipt. di Matematica "U. Dini"
viale Morgagni 67/A, 50134 Firenze, Italy
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