Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4326
Title: Everywhere regularity for a class of elliptic systems with p, q growth conditions
Authors: Migliorini, Anna Paola
Keywords: Elliptic SystemsRegularityCalculus of VariationsGeneral Growth Conditions
Issue Date: 1999
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source: Anna Paolo Migliorini, "Everywhere regularity for a class of elliptic systems with p, q growth conditions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (1999), pp. 203-234.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (1999)
Abstract: 
We shall prove everywhere regularity for weak solutions of elliptic
systems of the form
\[
\sum\frac{\partial}{\partial x_{i}}a\left(x,\mid Du\mid\right)u_{x_{i}}^{\alpha}=0
\]
under general p, q growth conditions and in particular for minimizers
of a class of variational integrals, both degenerate and non degenerate
ones, whose models are
\[
\begin{array}{c}
I_{1}\left(u\right)\quad=\quad\int_{\Omega}a\left(x\right)\mid Du\mid^{b\left(x\right)}dx,\\
I_{2}\left(u\right)\quad=\quad\int_{\Omega}a\left(x\right)\left(1+\mid Du\mid^{2}\right)^{\frac{b\left(x\right)}{2}}dx.
\end{array}
\]
Type: Article
URI: http://hdl.handle.net/10077/4326
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.31 (1999)

Files in This Item:
File Description SizeFormat
MiglioriniRendMat31.pdf284.34 kBAdobe PDFThumbnail
View/Open
Show full item record


CORE Recommender

Page view(s) 20

915
checked on Sep 20, 2021

Download(s) 20

440
checked on Sep 20, 2021

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.