# L2, Φ Regularity for Nonlinear Elliptic Systems of Second Order

 dc.contributor.author Danecek, Josef dc.contributor.author Viszus, Eugen dc.date.accessioned 2020-07-13T22:29:49Z dc.date.available 2020-07-13T22:29:49Z dc.date.issued 2002-02-19 dc.description.abstract This 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.department Mathematics dc.format Text dc.format.extent 13 pages dc.format.medium 1 file (.pdf) dc.identifier.citation Danecek, J., & Viszus, E. (2002). L2, Φ Regularity for Nonlinear Elliptic Systems of Second Order. Electronic Journal of Differential Equations, 2002(20), pp. 1-13. dc.identifier.issn 1072-6691 dc.identifier.uri https://hdl.handle.net/10877/12060 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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. dc.subject Nonlinear equations dc.subject Regularity dc.subject Morrey-Campanato spaces dc.title L2, Φ Regularity for Nonlinear Elliptic Systems of Second Order dc.type Article

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