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A local boundedness result for a class of obstacle problems with non-standard growth conditions
Mariapia De Rosa, Antonio Giuseppe Grimaldi
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 bounde…
Higher differentiability results in the scale of Besov spaces to a class of double-phase obstacle problems
Antonio Giuseppe Grimaldi, Erica Ipocoana
We study the higher fractional differentiability properties of the gradient of the solutions to variational obstacle problems of the form \begin{gather*} \min \biggl\{ \int_Ω F(x,w…
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions
Antonio Giuseppe Grimaldi, Erica Ipocoana
We here establish the higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions. We deal with the case in which the solu…