Fully Nonlinear Equations with Applications to Grad Equations in Plasma Physics

DOI10.1002/CPA.22026arXiv2007.05654MaRDI QIDQ6049735

Unnamed Author, Luis A. Caffarelli

Publication date: 11 October 2023

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05654

zbMATH Keywords

fully nonlinear equationsnonlocal equations \(W^{2,p}\)-viscosity solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs in connection with quantum mechanics (35Q40) Viscosity solutions to PDEs (35D40)

Cites Work

• \(W^{2,p}\)- and \(W^{1,p}\)-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
• Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
• A new approach to queer differential equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
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