Maximum principle for higher order operators in general domains
نویسندگان
چکیده
Abstract We first prove De Giorgi type level estimates for functions in W 1, t (Ω), Ω ⊂ mathvariant="double-struck">R N $ \Omega\subset{\mathbb R}^N , with t > ≥ 2 \gt N\geq 2 . This augmented integrability enables us to establish a new Harnack inequality which do not necessarily belong Giorgi’s classes as obtained Di Benedetto–Trudinger [10] 1,2 (Ω). As consequence, we the validity of strong maximum principle uniformly elliptic operators any even order, fairly general domains dimension two and three, provided second order derivatives are taken into account.
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ژورنال
عنوان ژورنال: Advances in Nonlinear Analysis
سال: 2021
ISSN: ['2191-950X', '2191-9496']
DOI: https://doi.org/10.1515/anona-2021-0210