Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations
By N. Phuc. 2013
85 citations recorded by the source corpus.
A weighted norm inequality of Muckenhoupt-Wheeden type is obtained for gradients of solutions to a class of quasilinear equations with measure data on Reifenberg flat domains. This essentially leads to a resolution of an existence problem for quasilinear Riccati type equations with a gradient source term of arbitrary power law growth.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/df5edfb2a8b65c510f9f1f55c0104054951e4a3f
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In Applied Mathematics
- Laurent Véron
- Marie-Franccoise Bidaut-V'eron
- Marta García-Huidobro
- Jihoon Ok
- Giuseppe Mingione
- Patrick Winkert
- Cristiana De Filippis
- Boyan Sirakov
In Computational Theory and Mathematics
- Laurent Véron
- Marie-Franccoise Bidaut-V'eron
- Marta García-Huidobro
- Jihoon Ok
- Giuseppe Mingione
- Patrick Winkert
- Cristiana De Filippis
- N. Phuc
Citations in the corpus
- Local and global properties of solutions of quasilinear Hamilton-Jacobi equations (2014, background): “An interesting counter part in [28] asserts that if any weak solution of (1.”
- Gradient estimates for elliptic equations with Lp(·)logL\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p(\cdot )}\ (2016, background): “[29]), we see that A0 = ap(Dv0) and v0 is a weak solution to (4.”