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