Regularity for Non-Uniformly Elliptic Systems and Applications to some Variational Integrals
dc.contributor.author | Leonetti, Francesco | |
dc.contributor.author | Musciano, Chiara | |
dc.date.accessioned | 2018-08-22T20:37:08Z | |
dc.date.available | 2018-08-22T20:37:08Z | |
dc.date.issued | 1995-06-07 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 14 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.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. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/7581 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Regularity | |
dc.subject | Weak solutions | |
dc.subject | Minimizers | |
dc.subject | Ellipticity | |
dc.subject | Variational integrals | |
dc.title | Regularity for Non-Uniformly Elliptic Systems and Applications to some Variational Integrals | |
dc.type | Article |