非线性椭圆障碍问题很弱解的全局可积性

Global Integrability of Very Weak Solution to the Nonlinear Elliptic Obstacle Problem

本文研究一类非线性椭圆方程的Kψ,θr(Ω)-障碍问题很弱解u的全局可积性,其中u的可积指数r满足max{1,p-1} r,则上述问题的很弱解u具有全局可积性,这里r充分接近p.

This paper is devoted to the global integrability of very weak solution u to the Kψ,θr(Ω)-obstacle problem of a class of nonlinear elliptic equation,max{1,p-1} r,then we prove that the very weak solution u for the above-mentioned problem is integrable provided that r is sufficiently close to p.