Weighted Lorentz estimates for nondivergence linear elliptic equations with partially BMO coefficients

DOI10.3934/cpaa.2017043zbMath1359.35024OpenAlexW2594032198MaRDI QIDQ519539

Junjie Zhang, Shen-Zhou Zheng

Publication date: 5 April 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017043

zbMATH Keywords

Hardy-Littlewood maximal operatorMuckenhoupt weightsnondivergence elliptic equationspartially BMOweighted Lorentz estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Second-order elliptic equations (35J15)

Related Items (10)

Weighted Lorentz estimates for nonlinear elliptic obstacle problems with partially regular nonlinearities ⋮ Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients ⋮ Orlicz estimates for nondivergence linear elliptic equations with partially BMO coefficients ⋮ Unnamed Item ⋮ Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities ⋮ Hessian estimates for nondivergence parabolic and elliptic equations with partially BMO coefficients ⋮ \(L^{p(\cdot)}\)-regularity of Hessian for nondivergence parabolic and elliptic equations with measurable coefficients ⋮ Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients ⋮ Variable Lorentz estimate for stationary Stokes system with partially BMO coefficients ⋮ Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth

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