Poincar-type inequalities with Lp(logL)? L p ( log L ) ? -norms for Greens operator
In this paper, we first establish local Poincar-type inequalities with Lp(logL)? L p ( log L ) ? -norms for Greens operator applied to the solutions of the nonhomogeneous A-harmonic equation. Then, we extend the local results to global versions in the L?(?) L ? ( ? ) - domain.
poincar-type inequalities greens operator a-harmonic equation lp(logl)? l p ( log l ) ? -norms lp(logl)? l p ( log l ) ? lp(logl)? l p ( log l ) ? l p ( log l ) ?