Regularity of weak solutions of nonlinear equations with discontinuous coefficients

DOI10.1007/s10114-005-0569-6zbMath1088.35074OpenAlexW2165870952MaRDI QIDQ2581198

Qi-kang Ran

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0569-6

zbMATH Keywords

nonlinear elliptic equationslocal regularityvanishing mean oscillationHardy-Littlewood maximal functionslocal weak \(L^p\)-space

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (3)

Regularity for quasi-linear degenerate elliptic equations with VMO coefficients ⋮ \(L^q\) interior estimates of the gradient for weak solutions of quasilinear elliptic equations ⋮ The method of \(A\)-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition

Cites Work

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• Regularity for a class of nonlinear elliptic systems
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• A Local estimate for nonlinear equations with discontinuous coefficients
• Quasilinear Elliptic Equations with VMO Coefficients

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