Multiplicity results of positive solutions for singular generalized Laplacian systems
J. Korean Math. Soc.
Published online July 17, 2019
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
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