On Morrey’s estimate of the Sobolev norms of solutions of 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

On Morrey’s estimate of the Sobolev norms of solutions of elliptic equations

Authors:	S. V. Shaposhnikov

Affiliation:	(1) M. V. Lomonosov Moscow State University, Russia

Abstract:	We give a complete proof of Morrey’s estimate for the W ^1,p-norm of a solution of a second-order elliptic equation on a domain in terms of the L ₁-norm of this solution. The dependence of the constant in this estimate on the coefficients of the equation is investigated.

Keywords:	elliptic equation Sobolev norm Sobolev space weak solution Fubini’ s theorem H?lder’ s inequality Lebesgue integral
本文献已被 SpringerLink 等数据库收录！