no. 1
The inhomogeneous boundary Harnack principle for fully nonlinear and p-Laplace equations
Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 1, pp. 133-156
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We prove a boundary Harnack principle in Lipschitz domains with small constant for fully nonlinear and p-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.

Accepté le :
Publié le :
DOI : 10.4171/aihpc/40
Classification : 35-XX
Mots-clés : Nonlinear equations, $p$-Laplace equations 
@article{AIHPC_2023__40_1_133_0,
     author = {Allen, Mark and Kriventsov, Dennis and Shahgholian, Henrik},
     title = {The inhomogeneous boundary {Harnack} principle for fully nonlinear and $p${-Laplace} equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {133--156},
     year = {2023},
     volume = {40},
     number = {1},
     doi = {10.4171/aihpc/40},
     language = {EN},
     url = {https://www.numdam.org/articles/10.4171/aihpc/40/}
}
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Allen, Mark; Kriventsov, Dennis; Shahgholian, Henrik. The inhomogeneous boundary Harnack principle for fully nonlinear and $p$-Laplace equations. Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 1, pp. 133-156. doi: 10.4171/aihpc/40

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