Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearity
نویسندگان
چکیده
منابع مشابه
Semilinear fractional elliptic equations with gradient nonlinearity involving measures
We study the existence of solutions to the fractional elliptic equation (E1) (−∆)u + ǫg(|∇u|) = ν in a bounded regular domain Ω of R (N ≥ 2), subject to the condition (E2) u = 0 in Ω, where ǫ = 1 or −1, (−∆) denotes the fractional Laplacian with α ∈ (1/2, 1), ν is a Radon measure and g : R+ 7→ R+ is a continuous function. We prove the existence of weak solutions for problem (E1)-(E2) when g is ...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2019
ISSN: 0308-2105,1473-7124
DOI: 10.1017/prm.2018.133