International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 6, Pages 365-375
doi:10.1155/S0161171201004203

Positive solutions for nonlinear elastic beam models

Bendong Lou

Department of Mathematics, Shandong University, Jinan 250100, China

Abstract

We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. Moreover, by modifying the main conditions in the conjecture (generalizing the original ones at some points), we get positive results, that is, we obtain the existence of positive solutions for the models.