A Local Boundedness Result for a Class of Obstacle Problems with Non-Standard Growth Conditions

• DOI: 10.1007/s10957-022-02084-1
• Publication Date: 2022-09-16T07:34:04Z
• Authors: Mariapia De Rosa; Antonio Giuseppe ...
• Keywords: Mathematics - Analysis of PDEs; FOS: Mathematics; 0211 other engineering and technologies; 02 engineering and technology; Analysis of PDEs (math.AP)

AbstractWe 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.