Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions

2022/01/19 by Andrea Gentile, Gentile, Andrea, Raffaella Giova +1
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2201.07679

Abstract

We establish some higher differentiability results for solution to non-autonomous obstacle problems of the form min \∫_Ωf(x, Dv(x))dx : v∈ K_ψ(Ω)\, where the function f satisfies p-growth conditions with respect to the gradient variable, for 1

Related

• Higher differentiability results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions
• Higher differentiability results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions
• Regularity results for a class of non-autonomous obstacle problems with\n (p,q)-growth
• Regularity results for bounded solutions to obstacle problems with non-standard growth conditions
• Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions