Global weighted gradient estimates for nonlinear p-Laplacian type elliptic equations and its application

Xuehui Hao

Global weighted gradient estimates for nonlinear p-Laplacian type elliptic equations and its application

Analysis of PDEs 2019-07-02 v1

Authors: Xuehui Hao

Abstract

We obtain the global weighted $W^{1,p}$ estimates for weak solutions of nonlinear elliptic equations over Reifenberg flat domains. Where nonlinearity $A(x,z,\xi)$ is assumed to be local uniform continuous in $z$ and have small BMO semi-norm in $x$ . Moreover, we derive Besov regularity for solutions of a class of special harmonic equations by making use of $W^{1,p}$ estimate. Keywords: global weighted $W^{1,p}$ estimates; quasilinear equations; Besov regularity

Keywords

gradient estimates regularity for elliptic equations elliptic partial differential equations

Cite

@article{arxiv.1907.00353,
  title  = {Global weighted gradient estimates for nonlinear p-Laplacian type elliptic equations and its application},
  author = {Xuehui Hao},
  journal= {arXiv preprint arXiv:1907.00353},
  year   = {2019}
}

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