Elliptic obstacle problems with measure data : potentials and low order regularity

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C. Scheven
We consider obstacle problems with measure data related to elliptic equations of p-Laplace type, and investigate the connections between low order regularity properties of the solutions and non-linear potentials of the data. In particular, we give pointwise estimates for the solutions in terms of Wol potentials and address the questions of boundedness and continuity of the solution.

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Scheven, C. “Elliptic obstacle problems with measure data : potentials and low order regularity”. Publicacions Matemàtiques, vol.VOL 56, no. 2, pp. 327-74, https://raco.cat/index.php/PublicacionsMatematiques/article/view/258153.