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中文摘要：
证明了散度-旋度向量场（B,E）∈Llocq（1-ε）（Ω,Rn）×Llocp（1-ε）（Ω,RN）的高阶可积性,这里1〈p,q〈∞,1/p＋1/q=1,ε充分小,divB=0,curlE=0满足逆不等式｜B｜q＋｜E｜p≤C〈B,E〉＋｜F｜q,其中F∈Lr（Ω,Rn）,r〉q（1-ε）.给出了上述结果在弱拟正则映射和非齐次A-调和方程divA（x,▽u）=divF很弱解中的应用. 更多还原
英文摘要：
The aim of the present paper is to prove higher integrability results for div-curlvector fields（B,E）∈Llocq（1-ε）（Ω,Rn）×Llocp（1-ε）（Ω,Rn）,1〈p,q〈∞,1/p＋1/q = 1,εsufficientlysmall,such that div B=0,curl E=0 satisfying a reverse inequality of the type｜B｜q＋｜E｜p≤C〈B,E〉＋｜F｜q,with F∈Lτ（Ω,Rn）,r〉q（1-ε）.Applications to the theory of weak quasiregular mappingsand very weak solutions of nonhomogeneous A-harmonic equationsdivA（x,Δu）=div Fare given.
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