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EnglishThe aim of this Note is to review some recent research on viscosity solutions of fully nonlinear equations of the form F x; u(x);Du(x);D2u(x) = 0 ; x 2 where is an open set in IRN and F is a nonlinear function of its entries which is elliptic with respect to the Hessian matrix D2u of the unknown function u and satises some suitable structure condition. The main issues touched here are the Alexandrov-Bakelman-Pucci estimate, the weak Maximum Principle for bounded solutions in general unbounded domains and qualitative Phragmen-Lindel of type theorems.
http://hdl.handle.net/11573/29423| Titolo: | On the weak maximum principle for fully nonlinear elliptic pde's in general unbounded domains |
| Autori interni: | CAPUZZO DOLCETTA, Italo |
| Data di pubblicazione: | 2008 |
| Rivista: | LECTURE NOTES OF SEMINARIO INTERDISCIPLINARE DI MATEMATICA |
| Abstract: | The aim of this Note is to review some recent research on viscosity solutions of fully nonlinear equations of the form F x; u(x);Du(x);D2u(x) = 0 ; x 2 where is an open set in IRN and F is a nonlinear function of its entries which is elliptic with respect to the Hessian matrix D2u of the unknown function u and satises some suitable structure condition. The main issues touched here are the Alexandrov-Bakelman-Pucci estimate, the weak Maximum Principle for bounded solutions in general unbounded domains and qualitative Phragmen-Lindel of type theorems. |
| Handle: | http://hdl.handle.net/11573/29423 |
| Appare nelle tipologie: | 01.a Pubblicazione su Rivista |
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