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Some inequalities to  Open image in new window -harmonic equation  Open image in new window  have been proved. The  Open image in new window -harmonic equation is a particular form of  Open image in new window -harmonic type system  Open image in new window  only when  Open image in new window  and  Open image in new window . In this paper, we will prove the Poincaré inequality and the reverse Hölder inequality for the solution to the  Open image in new window -harmonic type system.

The Reverse Hölder Inequality for the Solution to p-Harmonic Type System