Calderón-Zygmund estimates for elliptic double phase problems with variable exponents

DOI10.1016/j.jmaa.2020.124015zbMath1467.35064OpenAlexW3009148818MaRDI QIDQ2033260

Ho-Sik Lee, Sun-Sig Byun

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.2020.124015

zbMATH Keywords

Musielak-Orlicz spacehigher integrabilityminimal regularity requirements

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (14)

Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces ⋮ Gradient estimates for Orlicz double phase problems with variable exponents ⋮ Gradient estimate for asymptotically regular elliptic equations of double phase with variable exponents ⋮ Weighted Lorentz estimates for non-uniformly elliptic problems with variable exponents ⋮ Stability of solutions to obstacle problems with generalized Orlicz growth ⋮ Sobolev type inequalities for fractional maximal functions and Riesz potentials in Morrey spaces of variable exponent on half spaces ⋮ Gradient estimates for the double phase problems in the whole space ⋮ Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent ⋮ Continuity of generalized Riesz potentials for double phase functionals with variable exponents over metric measure spaces ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ Self-improving inequalities for bounded weak solutions to nonlocal double phase equations ⋮ Sobolev-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form ⋮ Gradient estimates for non-uniformly elliptic problems with BMO nonlinearity ⋮ Continuity of generalized Riesz potentials for double phase functionals with variable exponents

Cites Work

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• Gradient estimates for thep(x)-Laplacean system
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