A quantitative version of the Hopf–Oleinik lemma for a quasilinear non-uniformly elliptic operator
Nyckelord:
Hopf–Oleinik lemma, quasilinear non-uniformly elliptic operatorsAbstract
This paper establishes a quantitative version of the Hopf–Oleinik lemma (HOL) for a quasilinear non-uniformly elliptic operator of the form \(\mathcal{L}_\infty u: =2\Delta_\infty u+\Delta u\). One key point in the proof is the passage from non-uniformly elliptic operators to locally uniformly ones via a new, uniform, and, rescaled version of the gradient estimate obtained by Evans and Smart for solutions to a family of non-uniformly quasilinear elliptic operators.
Referera så här
Moreira, D., Santos, J. A., & Soares, S. H. M. (2024). A quantitative version of the Hopf–Oleinik lemma for a quasilinear non-uniformly elliptic operator. Annales Fennici Mathematici, 49(1), 337–348. https://doi.org/10.54330/afm.146035
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