We study the problem
in , on , where is a bounded domain in ( ), with smooth boundary, is a positive real number, the functions are Lipschitz continuous, is measurable and these fulfill certain conditions. The main result of this paper establish the existence of two positive constants and with such that any is an eigenvalue, while any is not an eigenvalue of our problem.
Submitted June 26, 2014. Published November 18, 2014.
Math Subject Classifications: 35D30, 35J60, 58E05.
Key Words: p(.)-Laplace operator; anisotropic variable exponent Sobolev space; critical point; weak solution; eigenvalue.
Show me the PDF file (274 KB), TEX file, and other files for this article.
| Ionela-Loredana Stancut |
Department of Mathematics
University of Craiova
Return to the EJDE web page