In this article, we establish a unilateral global bifurcation theorem from infinity for a class of -dimensional p-Laplacian problems. As an application, we study the global behavior of the components of nodal solutions of the problem
where , , , and is radially symmetric with on any subset of , and there exist two constants , such that , and for . Moreover, we give intervals for the parameter , where the problem has multiple nodal solutions if and . We use topological methods and nonlinear analysis techniques to prove our main results.
Submitted November 29, 2013. Published January 8, 2014.
Math Subject Classifications: 35P30，35B32.
Key Words: p-Laplacian; bifurcation; nodal solutions.
Show me the PDF file (188 KB), TEX file, and other files for this article.
| Bian-Xia Yang |
School of Mathematics and Statistics
Lanzhou, Gansu 730000, China
Return to the EJDE web page