Mathematica Eterna
Open Access

Abstract

Weak Monotonicity for Weak Solutions to Elliptic Equations with Degenerate Coercivity

GAO Hongya, LIANG Shuang adn CUI Yi

Weak monotonicity result is obtained for weak solutions to elliptic equations of the type −div(a(x, u)|Du| p−2Du) = 0, x ∈ Ω, p > 1, where a(x, s) : Ω × R → R satisfies α (1 + |s|) θ ≤ a(x, s) ≤ β, α ≤ β < ∞, 0 < θ < 1.