微分形式的A_r^(λ_3)(λ_1,λ_2,Ω)-加权的Poincaré型不等式(英文)

A_r^(λ_3)(λ_1,λ_2,Ω)-Weighted Poincaré-Type Inequality for Differential Forms

利用Hlder不等式得到了微分形式的局部Ar(λ1,λ2;Ω)-加权Poincaré型不等式,所得结果能被广泛应用于某些重要方程解的高阶可积性理论.

By making use of Holder inequality, we obtain a local Ar（λ1,λ2;Ω）- weighted Poincaré - type inequality for differential forms, and find that this result can be used extensively to the theory of higher order integrability for the solutions of some important equations