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GLOBAL GRADIENT ESTIMATES IN ELLIPTIC PROBLEMS UNDER MINIMAL DATA AND DOMAIN REGULARITY
University of Florence, Italy.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology. University of Liverpool, England.
2015 (English)In: Communications on Pure and Applied Analysis, ISSN 1534-0392, E-ISSN 1553-5258, Vol. 14, no 1, p. 285-311Article in journal (Refereed) Published
Abstract [en]

This is a survey of some recent contributions by the authors on global integrability properties of the gradient of solutions to boundary value problems for nonlinear elliptic equations in divergence form. Minimal assumptions on the regularity of the ground domain and of the prescribed data are pursued.
Place, publisher, year, edition, pages
American Institute of Mathematical Sciences (AIMS) , 2015. Vol. 14, no 1, p. 285-311
Keywords [en]
Elliptic boundary value problems; gradient estimates; capacity; perimeter; rearrangements
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-114244DOI: 10.3934/cpaa.2015.14.285ISI: 000347920400019OAI: oai:DiVA.org:liu-114244DiVA, id: diva2:788662
Note

Funding Agencies|MIUR (Ministero dellIstruzione e dellUniversita); GNAMPA (Gruppo Nazionale per l Analisi Matematica, la Probabilita e le loro Applicazioni) of the Italian INdAM (Istituto Nazionale di Alta Matematica)

Available from: 2015-02-16 Created: 2015-02-16 Last updated: 2017-12-04

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Maz´ya, Vladimir

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