EMBEDDIRICHLET

Embeddings of weighted Sobolev spaces and applications to Dirichlet problems

Coordinatore	BEN-GURION UNIVERSITY OF THE NEGEV    more  Organization address address: Office of the President - Main Campus city: BEER SHEVA postcode: 84105 contact info Titolo: Ms. Nome: Daphna Cognome: Tripto Email: send email Telefono: +972 8 6472443 Fax: +972 8 6472930
Nazionalità Coordinatore	Israel [IL]
Totale costo	185˙362 €
EC contributo	185˙362 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2010-IEF
Funding Scheme	MC-IEF
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-02-15   -   2014-02-14

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	BEN-GURION UNIVERSITY OF THE NEGEV  Organization address address: Office of the President - Main Campus city: BEER SHEVA postcode: 84105 contact info Titolo: Ms. Nome: Daphna Cognome: Tripto Email: send email Telefono: +972 8 6472443 Fax: +972 8 6472930	IL (BEER SHEVA)	coordinator	185˙362.40

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 Obiettivo del progetto (Objective)

'Sobolev spaces were introduced as solution spaces of elliptic partial differential equations. The theoretical study of Sobolev spaces is mainly motivated by the applications to the resolution of partial differential equations. Weighted Sobolev spaces allow to solve degenerate partial differential equations. In this respect, compact embeddings of Sobolev spaces play a crucial role. In recent works, V. Gol'dshtein and A. Ukhlov obtained compact embedding properties for weighted Sobolev spaces, considering domains which are homeomorphic images of a smooth bounded domain via mappings from a certain class, called weighted quasiconformal mappings (or mappings with bounded mean distorsion). In this project, we plan to study several degenerate partial differential equations involving Dirichlet conditions. To do this, we will introduce a double-weighted Sobolev space, which is more appropriate with respect to the considered type of nonlinear equations. We will first study the abstract, analytic properties of this new nonstandard class of spaces. Then, we will study their embeddings in a Lebesgue space, also using the relatively new theory of weighted quasiconformal mappings. Finally, we will apply these abstract results in order to construct solutions of boundary value problems for the elliptic equations we consider.'