Multiplicity of large solutions for quasi-monotone pulse-type nonlinearities (Q1684728)
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scientific article; zbMATH DE number 6817555
| Language | Label | Description | Also known as |
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| English | Multiplicity of large solutions for quasi-monotone pulse-type nonlinearities |
scientific article; zbMATH DE number 6817555 |
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Multiplicity of large solutions for quasi-monotone pulse-type nonlinearities (English)
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12 December 2017
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Existence, uniqueness and multiplicity of positive solutions for singular boundary value problems are studied in this paper. The authors obtain the multiplicity result of large solutions based on the Keller-Osserman condition from a dynamical perspective, which is of a great novelty. Furthermore, a counterexample is given to demonstrate that an important result of \textit{S. Dumont} et al. [Adv. Nonlinear Stud. 7, No. 2, 271--298 (2007; Zbl 1137.35030)] is incorrect.
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large positive solutions
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uniqueness
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multiplicity
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dynamical approach
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Keller-Osserman revisited
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