Our aim in this note is to deal with boundary limits of monotone Sobolev functions with Δu∈Lp(·)logLq(·)(B)for the unit ball B Rn.Here p(·) and q(·) are variable exponents satisfying t...Our aim in this note is to deal with boundary limits of monotone Sobolev functions with Δu∈Lp(·)logLq(·)(B)for the unit ball B Rn.Here p(·) and q(·) are variable exponents satisfying the log-H61der and the log log-H61der conditions, respectively.展开更多
基金supported by Grant-in-Aid for Scientific Research (C) (Grant No. 21540183)Japan Society for the Promotion of Science
文摘Our aim in this note is to deal with boundary limits of monotone Sobolev functions with Δu∈Lp(·)logLq(·)(B)for the unit ball B Rn.Here p(·) and q(·) are variable exponents satisfying the log-H61der and the log log-H61der conditions, respectively.