A note on Hardy%26apos;s inequalities with boundary singularities

作者：Fall Mouhamed Moustapha^*

来源：NONLINEAR ANALYSIS-THEORY METHODS %26 APPLICATIONS, 2012, 75(2): 951-963.

DOI：10.1016/j.na.2011.09.029

• Hardy inequality
• Extremals
• P-Laplacian
• Cone-like domains
• Improved Hardy inequality

Let Omega be a smooth bounded domain in R-N with N %26gt;= 1. In this paper we study the Hardy-Poincare inequalities with weight function singular at the boundary of Omega. In particular we give sufficient conditions so that the best constant is achieved.

• 出版日期2012-1