L2, Φ Regularity for Nonlinear Elliptic Systems of Second Order

dc.contributor.authorDanecek, Josef
dc.contributor.authorViszus, Eugen
dc.date.accessioned2020-07-13T22:29:49Z
dc.date.available2020-07-13T22:29:49Z
dc.date.issued2002-02-19
dc.description.abstractThis paper is concerned with the regularity of the gradient of the weak solutions to nonlinear elliptic systems with linear main parts. It demonstrates the connection between the regularity of the (generally discontinuous) coefficients of the linear parts of systems and the regularity of the gradient of the weak solutions of systems. More precisely: If above-mentioned coefficients belong to the class L∞(Ω) ∩ L2,ψ(Ω) (generalized Campanato spaces), then the gradient of the weak solutions belong to L2,Φloc (Ω, ℝnN), where the relation between the functions ψ and Φ is formulated in Theorems 3.1 and 3.2 below.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDanecek, J., & Viszus, E. (2002). L2, Φ Regularity for Nonlinear Elliptic Systems of Second Order. <i>Electronic Journal of Differential Equations, 2002</i>(20), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12060
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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNonlinear equations
dc.subjectRegularity
dc.subjectMorrey-Campanato spaces
dc.titleL2, Φ Regularity for Nonlinear Elliptic Systems of Second Order
dc.typeArticle

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