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.
On the weak maximum principle for fully nonlinear elliptic pde's in general unbounded domains / CAPUZZO DOLCETTA, Italo. - In: LECTURE NOTES OF SEMINARIO INTERDISCIPLINARE DI MATEMATICA. - ISSN 2284-0206. - 7(2008), pp. 81-92.
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Titolo: | On the weak maximum principle for fully nonlinear elliptic pde's in general unbounded domains | |
Autori: | ||
Data di pubblicazione: | 2008 | |
Rivista: | ||
Citazione: | On the weak maximum principle for fully nonlinear elliptic pde's in general unbounded domains / CAPUZZO DOLCETTA, Italo. - In: LECTURE NOTES OF SEMINARIO INTERDISCIPLINARE DI MATEMATICA. - ISSN 2284-0206. - 7(2008), pp. 81-92. | |
Handle: | http://hdl.handle.net/11573/29423 | |
Appartiene alla tipologia: | 01a Articolo in rivista |