期刊论文

Deng, Yinbin

英文

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

0219-1997

2009

11

2

185-199

10.1142/S0219199709003338

This work was supported by NSFC(10571069,10631030), NCET(07-0350), the Key Project of Chinese Ministry of Education (107081) and SRF for ROCS, SEM.

本校为第一且通讯机构

In this paper, we are concerned with the following elliptic problems which are related to the well-known Caffarelli-Kohn-Nirenberg inequalities: -div(vertical bar x vertical bar-(2a)del u) - lambda vertical bar x vertical bar(-eE)u = vertical bar x vertical bar(-bp)vertical bar u vertical bar(p-2)u + eta vertical bar x vertical bar(-dD)vertical bar u vertical bar(q-2)u in Omega u = 0 on partial derivative Omega, (0.1) where a = b < 0,p = 2N/N-2 (N >= 3), a