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Positive solutions for second-order superlinear repulsive singular Neumann boundary value problems |
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| Authors: | Jifeng Chu Xiaoning Lin Daqing Jiang Donal O’Regan Ravi P Agarwal |
| Institution: | (1) College of Science, Hohai University, Nanjing, 210098, China;(2) School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China;(3) Department of Mathematics, National University of Ireland, Galway, Ireland;(4) Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901, USA |
| Abstract: | In this paper we establish the multiplicity of positive solutions to second-order superlinear repulsive singular Neumann boundary value problems. It is proved that such a problem has at least two positive solutions under reasonable conditions. Our nonlinearity may be repulsive singular in its dependent variable and superlinear at infinity. The proof relies on a nonlinear alternative of Leray-Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cones. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 34B15 |
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