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Existence of symmetric positive solutions for a class of Sturm-Liouville-like boundary value problems |
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| Authors: | Jingbao Yang Zhongli Wei Ke Liu |
| Affiliation: | a Department of Sciences, Bozhou Teachers College, No. 80, Zhuangzhou Road, Mengcheng, Anhui 233500, PR China b School of Mathematics, Shandong University, Jinan, Shandong 250100, PR China c School of Sciences, Shandong Jianzhu University, Jinan, Shandong 250101, PR China |
| Abstract: | This paper deals with the existence of symmetric positive solutions for a class of singular Sturm-Liouville-like boundary value problems with a one-dimensional p-Laplacian operator. By using the fixed theorem of cone expansion and compression of norm type in a cone, the existence of positive solutions is established though nonlinear term contains the first derivative of unknown function. |
| Keywords: | p-Laplacian operator Four-point boundary value problems Fixed theorem of cone expansion and compression Positive solution |
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