Sobolev's theorem for double phase functionals
Sobolev's theorem for double phase functionals
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DOI：
10.7153/mia-2020-23-02
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发表时间：
2020
影响因子：
1
通讯作者：
Y. Mizuta;T. Ohno;T. Shimomura
中科院分区：
文献类型：
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作者：
Y. Mizuta;T. Ohno;T. Shimomura
本文的目的是建立双相泛函Φ(x，t)=tp+{b(X)t(log(e+t))τ}的Soblev定理的推广，其中1 0和b是满足|b(X)−b(Y)|C|x−y|θ(log(e+|x−y|−1))−τ的非负有界函数，0θ<；1.数学学科分类(2010)：46E30、42B25、46E35。
Our aim in this paper is to establish generalizations of Sobolev’s theorem for double phase functionals Φ(x,t) = t p + {b(x)t(log(e+ t))τ} , where 1 0 and b is a nonnegative bounded function satisfying |b(x)− b(y)| C|x− y|θ (log(e+ |x− y|−1))−τ for 0 θ < 1 . Mathematics subject classification (2010): 46E30, 42B25, 46E35.