Lorentz estimates to nonlinear elliptic obstacle problems of \(p(x)\)-growth in Reifenberg domains

DOI10.1016/j.jmaa.2020.123924zbMath1470.35373OpenAlexW3006496276MaRDI QIDQ2033255

Shuang Liang, Shen-Zhou Zheng

Publication date: 14 June 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123924

zbMATH Keywords

Lorentz spacesReifenberg flatnessirregular obstaclesmall BMOnonlinear problems of \(p(x)\)-growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Partial differential equations of mathematical physics and other areas of application (35Q99) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (2)

Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity

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