Interior and boundary \(W^{1,q}\)-estimates for quasi-linear elliptic equations of Schrödinger type

DOI10.1016/j.jde.2020.03.028zbMath1441.35130arXiv1912.06283OpenAlexW3013018000MaRDI QIDQ2181279

Mikyoung Lee, Jihoon Ok

Publication date: 18 May 2020

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

Full work available at URL: https://arxiv.org/abs/1912.06283

zbMATH Keywords

weak solutiongradient estimateSchrödinger operator\(p\)-Laplace equationCalderón-Zygmund estimatecomparison estimateexit-time argument

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

\(W^{1,p}\) estimates for nonlinear Schrödinger equations with partially BMO coefficients in Reifenberg domains ⋮ Regularity in Orlicz spaces for quasi-linear elliptic equations of Schrödinger type ⋮ Calderón–Zygmund estimates for a parabolic Schrodinger system on Reifenberg domains ⋮ Lorentz gradient estimates for a class of elliptic \(p\)-Laplacian equations with a Schrödinger term

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