Regularity of solutions of divergence form elliptic equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Regularity of solutions of divergence form elliptic equations

Authors:	Maria Alessandra Ragusa

Affiliation:	Dipartimento di Matematica, Università di Catania, Viale A. Doria, 6, 95125 Catania, Italy

Abstract:	The aim of this paper is to study local regularity in the Morrey spaces $L^{p,lambda}$ of the first derivatives of the solutions of an elliptic second order equation in divergence form $begin{equation}{mathcal L} u equiv -sum _{i,j=1}^n (a_{ij}(x) u_{x_i})_{x_j} =div f(x)quad text{for a.a.} xin Omega, end{equation}$ where is assumed to be in some $L^{p,lambda}$ spaces and the coefficients $a_{ij}$ belong to the space

Keywords:	Elliptic equations Morrey spaces VMO

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文