Multiplicity results of positive solutions for singular generalized Laplacian systems
J. Korean Math. Soc.
Published online 2019 Feb 13
Yong Hoon Lee and Xianghui Xu
Pusan National University, Ludong University
Abstract : We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Using the well-known fixed point theorem on cones, we obtain
the multiplicity results of positive solutions under two different asymptotic behaviors of the nonlinearities at the origin and infinity.
Furthermore, a global result of positive solutions for one special case with respect to a parameter is also obtained.
Keywords : generalized Laplacian system, singular weight, multiplicity, positive solution
MSC numbers : 34B16, 34B18
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang.co., Ltd