We consider some nonlinear Dirichlet problems and we study how lower order terms can give a regularizing effect on the solutions: the existence of distributional solutions with minimal properties (solutions in W0^1,1 , functional space not so usual for finding solutions of elliptic problems) or finite energy solutions, even with nonregular data.
Some elliptic equations with $W_0^1,1$ solutions / Boccardo, Lucio; Cirmi G., Rita. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 153:(2017), pp. 130-141. [10.1016/j.na.2016.09.007]
Some elliptic equations with $W_0^1,1$ solutions
Boccardo Lucio
;
2017
Abstract
We consider some nonlinear Dirichlet problems and we study how lower order terms can give a regularizing effect on the solutions: the existence of distributional solutions with minimal properties (solutions in W0^1,1 , functional space not so usual for finding solutions of elliptic problems) or finite energy solutions, even with nonregular data.File allegati a questo prodotto
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