Regularity for Non-Uniformly Elliptic Systems and Applications to some Variational Integrals
Date
1995-06-07
Authors
Leonetti, Francesco
Musciano, Chiara
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This paper deals with higher integrability for minimizers of some variational integrals whose Euler equation is elliptic but not uniformly elliptic. This setting is also referred to as elliptic equations with p,q-growth conditions, following Marcellini. Higher integrability of minimizers implies the existence of second derivatives. This improves on a result by Acerbi and Fusco concerning the estimate of the (possibly) singular set of minimizers.
Description
Keywords
Regularity, Weak solutions, Minimizers, Ellipticity, Variational integrals
Citation
Leonetti, F. & Musciano, C. (1995). Regularity for non-uniformly elliptic systems and application to some variational integrals. <i>Electronic Journal of Differential Equations, 1995</i>(06), pp. 1-14.
Rights
Attribution 4.0 International