Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths

DOI10.1016/j.jde.2018.07.049zbMath1406.35074OpenAlexW2884178041WikidataQ129467475 ScholiaQ129467475MaRDI QIDQ1993969

Hong Tian, Shen-Zhou Zheng

Publication date: 6 November 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.049

zbMATH Keywords

Lorentz spacesdiscontinuous nonlinearitiesquasiconvex domainsminimal regularity assumptionsvariable exponent growthglobal Calderón-Zygmund-type estimate

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) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (4)

Regularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spaces ⋮ Gradient estimates for a class of higher-order elliptic equations of \(p\)-growth over a nonsmooth domain ⋮ The \(W^{1,2}_{( p,q )}\)-solvability for a class of fully nonlinear parabolic equations ⋮ Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients

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