Multiplicity of positive solutions to a singular (p(1), p(2))-Laplacian system with coupled integral boundary conditions

作者：Jeong Jeongmi; Kim Chan Gyun^*; Lee Eun Kyoung

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2016, (32): 1-23.

DOI：10.14232/ejqtde.2016.1.32

• nonlocal boundary condition
• multiplicity
• positive solution
• singular weight function

In this work, we investigate the existence and multiplicity results for positive solutions to a singular (p(1), p(2))-Laplacian system with coupled integral boundary conditions and a parameter (mu, lambda) is an element of IR+3. Using sub-super solutions method and fixed point index theorems, it is shown that there exists a continuous surface C which separates R-+(2) x (0, infinity) into two regions O-1 and O-2 such that the problem under consideration has two positive solutions for (mu, lambda) is an element of O-1, at least one positive solution for (mu, lambda) is an element of C, and no positive solutions for (mu, lambda) is an element of O-2.

• 出版日期2016