【摘 要】
：
In this paper,we study the Holder regularity of weak solutions to the Dirichlet problem associated with the regional fractional Laplacian(-△)Ωα on a bounded
【机 构】
：
Department of Mathematics and Physics,Shijiazhuang Tiedao University,Hebei 050043,P.R.China
论文部分内容阅读
In this paper,we study the Holder regularity of weak solutions to the Dirichlet problem associated with the regional fractional Laplacian(-△)Ωα on a bounded open setΩ?1R(N ≥ 2)with C1,1 boundary ?Ω.We prove that when f ∈ Lp(Ω),and g ∈ C(?Ω),the following problem(-△)Ωαu = f in Ω,u = g on ?Ω,admits a unique weak solution u ∈ Wα,2(Ω)∩ C(Ω-),where p ＞ 2-2α-N and 2-1 ＜ α ＜ 1.To solve this problem,we consider it into two special cases,i.e.,g≡0 on ?Ω and f≡0 in Ω.Finally,taking into account the preceding two cases,the general conclusion is drawn.
其他文献
In this paper the author studies the singular integral with the circularly deleted neighborhood on the boundary of the intersection of two balls,and obtain the
目的：本实验的目的评价4种方法对中间普氏菌(Prevotellaintermedia,Pi)黑色素的清除效果,并筛选一种去除产黑色素细菌DNA的方法.方法：分别采用天根口腔拭子DNA提取试剂盒,C
1996年12月6日,峨眉山———乐山大佛被联合国教科文组织列入《世界自然和文化遗产名录》。峨眉山1郾概况峨眉山位于四川省中南部,四川盆地西南边缘的峨眉山市境内,距成都约1
目的：了解云南地区老年人口腔黏膜病流行情况及相关因素，为该地区的口腔黏膜病预防提供指导依据.方法：通过口腔检查对云南1098名65岁以上老年人进行口腔黏膜病检查，采用SPSS1
以“科技·环保·时尚·文明”为主题的第二届长春市大学生环保时装设计大赛于2003年12月5日落下帷幕。此次活动共有11所高校的12支队伍参赛。废弃饮料瓶、电脑零件、报纸等
We study the stability of endemic equilibriums of the deterministic and stochastic SIS epidemic models with vaccination.The deterministic SIS epidemic model wit
请下载后查看，本文暂不支持在线获取查看简介。
Please download to view, this article does not support online access to view profile.
目的：建立2型大鼠糖尿病模型检测并比较糖尿病大鼠、糖尿病牙周炎大鼠及正常大鼠牙周组织中白细胞介素23(IL-23)的水平，探讨IL-23在糖尿病性牙周炎发病机制中的作用.方法：选
研究背景：大量研究表明,部分含镍合金烤瓷冠通过释放缓慢低浓度镍离子引起体内口腔黏膜病损,体外诱导正常口腔上皮细胞凋亡,但镍离子作用口腔上皮细胞的具体机制仍不清楚.
In this paper,the option pricing problem is formulated as a distributionally robust optimization problem,which seeks to minimize the worst case replication erro