Schauder theory in variable Holder spaces

作者：Bies Piotr Michal; Gorka Przemyslaw^*

来源：Journal of Differential Equations, 2015, 259(7): 2850-2883.

DOI：10.1016/j.jde.2015.04.006

• Variable Holder spaces
• Schauder estimates
• Kellogg theorem
• Variable exponent spaces
• Dirichlet boundary value problem

We study elliptic equations on bounded domain of Euclidean spaces in the variable Holder spaces. Interior a priori Schauder estimates are given as well as global ones. Moreover, the existence and the uniqueness of solutions to the Dirichlet boundary value problem is proved.

• 出版日期2015-10-5