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摘要
In this article, we study the q-Laplacian equation -Delta(q)u - vertical bar vertical bar x vertical bar-2 vertical bar(a)u(p-1), 1<vertical bar x vertical bar<3, where Delta(q)u = div(vertical bar del u vertical bar(q-2 del u)) and q > 1. We prove that the problem has two solutions when a is large, and has two additional solutions when p is close to the critical Sobolev exponent q* = Nq/N-q. A symmetry-breaking phenomenon appears which shows that the least-energy solution cannot be radial function.
- 出版日期2012-1-24
- 单位中南财经政法大学
