The Stokes and Poisson problem in variable exponent spaces

作者：Diening L; Lengeler D; Ruzicka M^*

来源：Complex Variables and Elliptic Equations, 2011, 56(7-9): 789-811.

DOI：10.1080/17476933.2010.504843

• variable exponent space
• Stokes problem
• Poisson problem

We study the Stokes and Poisson problem in the context of variable exponent spaces. We prove existence of strong and weak solutions for bounded domains with a C-1,C-1 boundary with inhomogeneous boundary values. The result is based on generalizations of the classical theories of Calderon-Zygmund and Agmon-Douglis-Nirenberg to variable exponent spaces.

• 出版日期2011