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

2020/07/08 by Andrea Gentile, Gentile, Andrea
Computer Science · Mathematics · #35J87 #47J20 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2007.04064

Abstract

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

Citations

• Universal potential estimates
• Potential methods in variational inequalities
• Global gradient estimates for nonlinear obstacle problems with nonstandard growth
• Higher differentiability for solutions to a class of obstacle problems
• Regularity results for a class of non-differentiable obstacle problems
• Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings
• Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions

Related

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