Original title: Sobolev inequality with variable exponent
Authors: Rákosník, Jiří
Document type: Papers
Conference/Event: Function Spaces, Differential Operators and Nonlinear Analysis, Syöte (FI), 1999-06-10 / 1999-06-16
Year: 2000
Language: eng
Abstract: Recently, an increasing attention has been payed to partial differential equations and variational integrals involving coefficients of nonstandard growth. A natural tool to handle some of the related problems may be theory of spaces of functions integrable with variable exponent. The paper discusses the Sobolev inequality in this context and shows that it holds if the exponentfunction is Lipschitz-continuous.
Project no.: CEZ:AV0Z1019905 (CEP), CEZ:A05/98:Z1-019-9ii, GA201/97/0744 (CEP)
Funding provider: GA ČR
Host item entry: Function Spaces, Differential Operators and Nonlinear Analysis, ISBN 80-85823-42-X

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0071829

Permalink: http://www.nusl.cz/ntk/nusl-25981


The record appears in these collections:
Research > Institutes ASCR > Institute of Mathematics
Conference materials > Papers