Monotonicity formula for solutions of fractional p-Laplace equations
In this paper,we study the monotonicity formula of solutions for fractional p-Laplace equations.Based on the extension technique of Caffarelli-Silverstre,the corresponding extension problem of fractional p-Laplace equation is addressed as a degenerate or singular local equation in half space.By establishing the Almgren-type frequency function related to the extended problem,and combining the divergence theorem and integral estimation,the monotonicity formula of the extended function is obtained.
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