# American Institute of Mathematical Sciences

September  2009, 8(5): 1577-1583. doi: 10.3934/cpaa.2009.8.1577

## Hölder continuity of solutions to the $A$-Laplace equation involving measures

Received  April 2007 Revised  March 2009 Published  April 2009

We show an optimal Hölder continuity for the solutions of the equation $- \Delta_A u=\mu$ provided that $\mu (B(x,r)) \leq C r^{n-1}$ for any ball $B(x,r)\subset \Omega$, with $r\leq 1$.
Citation: Samia Challal, Abdeslem Lyaghfouri. Hölder continuity of solutions to the $A$-Laplace equation involving measures. Communications on Pure and Applied Analysis, 2009, 8 (5) : 1577-1583. doi: 10.3934/cpaa.2009.8.1577
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