Global Integrability for Solutions to Obstacle Problems

Abstract

. Denote v ≥ ψ , a.e. and v − θ p Ω ) o where ψ is any function in Ω ⊂ R N , N ≥ 2, with values in R ∪{± ∞ } and θ is a measurable function. This paper deals with global integrability for u ∈K ψ , θ such that with |A ( x , ξ ) |≈| ξ | p − 1 , 1 < p < N . Some global integrability results are obtained.