Weighted reverse H?lder integral inequality for the result of p-harmonic type equation

摘要

Some inequalities to A- harmonic equation A(χ,du) = d*v have been proved. The A-harmonic equation is a particular form of p- harmonic type system A(χ,a + du) = b + d*v only when a = 0,b = 0. In this paper, we will prove local result weighted reverse H?lder integral inequality for p-harmonic type tensors by using the generalized Holder inequality and the properties of the weight. Using the local result and the properties of L~s(μ)-averaging domains, we obtain global Weighted reverse H?lder integral inequality