Bull. Korean Math. Soc. 2013; 50(1): 57-71
Printed January 31, 2013
https://doi.org/10.4134/BKMS.2013.50.1.57
Copyright © The Korean Mathematical Society.
Lin Li
Sichuan University of Science and Engineering
In this paper, we establish the existence of at least three solutions to a Navier boundary problem involving the $(p_1,\ldots,p_n)$-biharmonic systems. We use a variational approach based on a three critical points theorem due to Ricceri [B. Ricceri, {\it A three critical points theorem revisited}, Nonlinear Anal. {\bf 70} (2009), 3084--3089].
Keywords: $(p_1,\ldots,p_n)$-biharmonic, Navier condition, multiple solutions, three critical points theorem
MSC numbers: 35J48, 35J60, 47J30, 58E05
2014; 51(1): 99-113
2013; 50(5): 1693-1710
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd