A Local Boundedness Result for a Class of Obstacle Problems with Non-Standard Growth Conditions
证明了在增长指数间隙的精确界下,一类具有非标准增长条件的障碍问题解的局部有界性。
Abstract We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able to establish the local boundedness under a sharp bound on the gap between the growth exponents.