Positive Solutions for Fourth-Order Singular
-Laplacian Differential Equations with Integral Boundary Conditions !()
1 Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
2 Department of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, China
3 Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao 266510, China
Boundary Value Problems 2010, 2010:862079 doi:10.1155/2010/862079Published: 19 August 2010
By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo- as well as positive solutions for fourth-order singular -Laplacian differential equations with integral boundary conditions. Our nonlinearity may be singular at , , and . The dual results for the other integral boundary condition are also given.