Sunto
Si dà un criterio di Wiener per la continuità in un punto delle soluzioni locali di problemi d'ostacolo relativi ad un operatore ellittico degenere. Si ottiene inoltre una stima del modulo di continuità della soluzione e del «decay» dell'«energia» in un punto.
Summary
We give a Wiener's type criterion for the continuity of the local solutions of obstacle problems relative to a degenerate elliptic operator. Moreover, we give an estimate on the modulus of continuity of the solutions and we also estimate the «energy decay» at a point.
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Biroli, M., Mosco, U. Wiener criterion and potential estimates for obstacle problems relative to degenerate elliptic operators. Annali di Matematica pura ed applicata 159, 255–281 (1991). https://doi.org/10.1007/BF01766304
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DOI: https://doi.org/10.1007/BF01766304