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.
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Titolo: | Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data |
Autori: | |
Data di pubblicazione: | 2009 |
Rivista: | |
Handle: | http://hdl.handle.net/11573/10719 |
Appartiene alla tipologia: | 01a Articolo in rivista |