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Seminario venerdì 14 dicembre ore 14:00, Prof.ssa Iwona Chlebicka, "Fully anisotropic elliptic problems with data below duality" (serie di Analisi Matematica)

Iwona Skrzypczak

Venerdì 14 dicembre alle ore 14:00, presso l'Aula C del Plesso di Matematica, la Prof.ssa Iwona Chlebicka, MIMUW (Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw) e IMPAN (Institute of Mathematics, Polish Academy of Sciences), terrà un seminario dal titolo

"Fully anisotropic elliptic problems with data below duality".

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Organizzatori: Proff. Alessandra Lunardi e Giampiero Palatucci

Abstract

We investigate a nonlinear elliptic Dirichlet problem with growth in fully anisotropic and non-reflexive Orlicz-Sobolev space. We do not impose any condition of doubling type. When the datum is regular, we prove existence of weak solutions. For measure data we consider a generalized notion of solutions for which we infer existence and anisotropic regularity in Orlicz-Marcinkiewicz spaces extending the known results for anisotropic p-Laplace equation. In the case of merely integrable data we prove also uniqueness. The regularity we infer in particular extends what is known for anisotropic p-Laplace equation. 

Pubblicato Lunedì, 3 Dicembre, 2018 - 09:39 | ultima modifica Mercoledì, 5 Dicembre, 2018 - 12:16