Uniformly nondegenerate elliptic equations with partially BMO coefficients in nonsmooth domains

DOI10.1016/j.na.2017.02.013zbMath1368.35097OpenAlexW2593828306MaRDI QIDQ2396839

Hong Tian, Shen-Zhou Zheng

Publication date: 26 May 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.02.013

zbMATH Keywords

Lorentz-Morrey spacesweighted Lorentz spacesuniformly nondegenerate elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30)

Related Items (5)

Weighted Lorentz estimates for nonlinear elliptic obstacle problems with partially regular nonlinearities ⋮ Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities ⋮ Global gradient estimates for parabolic systems from composite materials ⋮ Variable Lorentz estimate for stationary Stokes system with partially BMO coefficients ⋮ Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global estimates for quasilinear elliptic equations on Reifenberg flat domains
• Second-order elliptic equations with variably partially VMO coefficients
• Gradient estimates below the duality exponent
• Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations
• Gradient estimates for elliptic systems in non-smooth domains
• Elliptic equations in divergence form with partially BMO coefficients
• A geometric approach to the Calderón-Zygmund estimates
• Smoothness of linear laminates
• Elliptic equations with measurable coefficients in Reifenberg domains
• Solvability of parabolic equations in divergence form with partially BMO coefficients
• Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
• Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms
• Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains
• On a class of interpolation spaces
• Lorentz estimates for degenerate and singular evolutionary systems
• Parabolic equations with variably partially VMO coefficients
• Elliptic equations with BMO coefficients in Reifenberg domains
• On Morrey-Besov inequalities
• Parabolic and Elliptic Equations with VMO Coefficients
• Elliptic Partial Differential Equations of Second Order
• Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others

This page was built for publication: Uniformly nondegenerate elliptic equations with partially BMO coefficients in nonsmooth domains