Mathematica Eterna
Open Access

Abstract

Local Regularity for Very Weak Solutions to Elliptic Equations with Degenerate Coercivity

GAO Hongya, DI Qinghua

This paper deals with very weak solutions to elliptic equations −div(a(x, u)Du) = −divF, x ∈ Ω, with degenerate coercivity. A local regularity result is obtained under appropriate assumptions.