Abstract: A local higher integrability result for the derivatives of the solutions to obstacle problems associatlished where the equation satisfics conditions A (x, ξ)· ξ≥α | ξ| p and |A (x, ξ) | ≤β(|ξ| + k (x))p- t, p ＞ 1.

Key words: Kψ,θ- obstacle problem, A-harmonic equation, local integrability