Regularity for minimizers of integrals with nonstandard growth

Autor:	Francesco Leonetti, Pier Vincenzo Petricca
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	Integrable system Functional Applied Mathematics Mathematical analysis Geodetic datum Boundary (topology) Variational Growth Integrability Boundary values Minimizer Analysis Mathematics
Popis:	We deal with variational integrals ∫ Ω f ( x , D u ( x ) ) d x and we consider a minimizer u : Ω ⊂ R n → R among all functions that agree on the boundary ∂ Ω with some fixed boundary value u ∗ . We assume that the boundary datum u ∗ makes the density f ( x , D u ∗ ( x ) ) more integrable and we prove that the minimizer u enjoy higher integrability.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6400c32c8ce801953f4cd119ed28531 http://hdl.handle.net/11697/98839 Zobrazit plný text záznamu