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EnglishThe method introduced by Ennio De Giorgi and Guido Stampacchia for the study of the regularity (L(p), Marcinkiewicz or C(0,alpha)) of the weak solutions u is an element of W(0)(1,2) (Omega) of Dirichlet problems hinges on the handle of inequalities concerning the integral of |del u vertical bar(2) on the subsets where vertical bar u( x)vertical bar is greater than k. In this framework, here we give a contribution with the study of the Marcinkiewicz regularity of the gradient of infinite energy solutions of Dirichlet problems with nonregular data.
http://hdl.handle.net/11573/10719| Titolo: | Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data |
| Autori interni: | BOCCARDO, Lucio |
| Data di pubblicazione: | 2009 |
| Rivista: | ANNALI DI MATEMATICA PURA ED APPLICATA |
| Abstract: | The method introduced by Ennio De Giorgi and Guido Stampacchia for the study of the regularity (L(p), Marcinkiewicz or C(0,alpha)) of the weak solutions u is an element of W(0)(1,2) (Omega) of Dirichlet problems hinges on the handle of inequalities concerning the integral of |del u vertical bar(2) on the subsets where vertical bar u( x)vertical bar is greater than k. In this framework, here we give a contribution with the study of the Marcinkiewicz regularity of the gradient of infinite energy solutions of Dirichlet problems with nonregular data. |
| Handle: | http://hdl.handle.net/11573/10719 |
| Appare nelle tipologie: | 01.a Pubblicazione su Rivista |
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