On a degenerate singular elliptic problem

Abstract

In this article we provide existence, uniqueness and regularity results of a degenerate singular elliptic boundary value problem whose prototype is given bywhere Ω is a bounded smooth domain in ℝ 𝑁 with 𝑁 ≥ 2, 𝑤 belongs to the Muckenhoupt class 𝐴 𝑝 for some 1 < 𝑝 < ∞, 𝑓 is a nonnegative function belonging to some Lebesgue space and 𝛿 > 0.

On the regularity theory for mixed local and nonlocal quasilinear elliptic equations

“…, for some α ≥ 1, then following the proof of [25, Page 5] or [44,Theorem 2.11] we have u = 0 on ∂Ω according to the Definition 2.9.…”