Nguyen Thanh Chung
In this article, we consider degenerate and singular elliptic systems of the form
where is a bounded domain in , , with smooth boundary ; , , and are allowed to have "essential" zeroes; ; the weight functions , may be sign-changing; and . Using variational techniques, a variant of the Caffarelli - Kohn - Nirenberg inequality, and a variational principle by Clark , we prove the rxistence of infinitely many solutions in a weighted Sobolev space.
Submitted May 14, 2010. Published February 18, 2011.
Math Subject Classifications: 35J65, 35J20.
Key Words: Degenerate and singular Elliptic system; weight function; concave nonlinearity; infinitely many solutions.
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| Nguyen Thanh Chung |
Department of Mathematics and Informatics
Quang Binh University, 312 Ly Thuong Kiet
Dong Hoi, Quang Binh, Vietnam
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