Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces

DOI10.1142/S0219199720500145zbMath1472.35125OpenAlexW3005927788MaRDI QIDQ5002163

The Anh Bui, The Quan Bui, Xuan Thinh Duong

Publication date: 27 July 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199720500145

zbMATH Keywords

BMOweighted variable exponent Lebesgue spacenon-divergence elliptic equation

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) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data ⋮ Generalized Orlicz-type slice spaces, extrapolation and applications ⋮ Weighted \(W^{1, p(\cdot)}\)-regularity for degenerate elliptic equations in Reifenberg domains ⋮ Solvability in the small of $m$-th order elliptic equations in weighted grand Sobolev spaces ⋮ Pointwise and weighted Hessian estimates for Kolmogorov-Fokker-Planck-type operators ⋮ Variable Hardy spaces associated with Schrödinger operators on strongly Lipschitz domains with their applications to regularity for inhomogeneous Dirichlet problems

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