A strong convergence of the weak gradient to A-harmonic type operators with L1 data

作者：Zheng, Shenzhou^*

来源：Journal of Mathematical Analysis and Applications, 2015, 430(1): 381-389.

DOI：10.1016/j.jmaa.2015.05.001

• A-harmonic type operator
• Lipschitz truncation technique
• Strong convergence

We prove u(k) -> u strongly in W-loc(1,q)(Omega) with 1 <= q <= p by Lipschitz truncation argument if u is an element of W-1,W-p(Omega) is a weak solution of A-harmonic type equations -divA(x, Du) = f (x) with f is an element of L-1 (Omega), and u(k) is a sequence of their weak solutions with u(k) -> u weakly in W-1,W-p(Omega) and f(k) -> f weakly in L-1(Omega). As an application, we obtain a compactness property for p-harmonic maps defined from L-infinity-metric Riemannian manifold.

• 出版日期2015-10-1
• 单位北京交通大学