Regularity for Non-Uniformly Elliptic Systems and Applications to some Variational Integrals

dc.contributor.authorLeonetti, Francesco
dc.contributor.authorMusciano, Chiara
dc.date.accessioned2018-08-22T20:37:08Z
dc.date.available2018-08-22T20:37:08Z
dc.date.issued1995-06-07
dc.description.abstractThis 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.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLeonetti, 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.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7581
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectRegularity
dc.subjectWeak solutions
dc.subjectMinimizers
dc.subjectEllipticity
dc.subjectVariational integrals
dc.titleRegularity for Non-Uniformly Elliptic Systems and Applications to some Variational Integrals
dc.typeArticle

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