A local boundedness result for a class of obstacle problems with non-standard growth conditions

2022/02/26 by Mariapia De Rosa, De Rosa, Mariapia, Antonio Giuseppe Grimaldi +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2202.13102

openalex publication_date 2022/02/26 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

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.

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