Article ID Journal Published Year Pages File Type
4620147 Journal of Mathematical Analysis and Applications 2009 12 Pages PDF
Abstract

Some embedding inequalities in Hardy–Sobolev spaces with weighted function α|x| are proved. The procedure is based on decomposition into spherical harmonics, where in addition various new inequalities are obtained. Next, we study the existence of nontrivial solutions of biharmonic equations with Hardy potential and critical parameter.

Related Topics
Physical Sciences and Engineering Mathematics Analysis