The inhomogeneous boundary Harnack principle for fully nonlinear and -Laplace equations
Mark Allen
Brigham Young University, Provo, United States of AmericaDennis Kriventsov
Rutgers University, Piscataway, United States of AmericaHenrik Shahgholian
KTH Royal Institute of Technology, Stockholm, Sweden
![The inhomogeneous boundary Harnack principle for fully nonlinear and $p$-Laplace equations cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-40-issue-1.png&w=3840&q=90)
Abstract
We prove a boundary Harnack principle in Lipschitz domains with small constant for fully nonlinear and -Laplace-type equations with a right-hand side, as well as for the Laplace equation on nontangentially accessible domains under extra conditions. The approach is completely new and gives a systematic approach for proving similar results for a variety of equations and geometries.
Cite this article
Mark Allen, Dennis Kriventsov, Henrik Shahgholian, The inhomogeneous boundary Harnack principle for fully nonlinear and -Laplace equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 40 (2023), no. 1, pp. 133–156
DOI 10.4171/AIHPC/40