A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912178203787264 |
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| author | Feltrin, Guglielmo López-Gómez, Julián Sampedro, Juan Carlos |
| author_facet | Feltrin, Guglielmo López-Gómez, Julián Sampedro, Juan Carlos |
| contents | This paper solves in a positive manner a conjecture stated in 2000 by R. Gómez-Reñasco and J. López-Gómez regarding the multiplicity of positive solutions of a paradigmatic class of superlinear indefinite boundary value problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem Feltrin, Guglielmo López-Gómez, Julián Sampedro, Juan Carlos Analysis of PDEs Classical Analysis and ODEs 34B18, 34B08, 35B09, 35J25 This paper solves in a positive manner a conjecture stated in 2000 by R. Gómez-Reñasco and J. López-Gómez regarding the multiplicity of positive solutions of a paradigmatic class of superlinear indefinite boundary value problems. |
| title | A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem |
| topic | Analysis of PDEs Classical Analysis and ODEs 34B18, 34B08, 35B09, 35J25 |
| url | https://arxiv.org/abs/2501.02854 |