Existence of Positive Solution for a Singular Elliptic Problem with an Asymptotically Linear Nonlinearity
In this paper, we consider the existence of positive solutions for a singular elliptic problem involving an asymptotically linear nonlinearity and depending on one positive parameter. Using variational methods, together with comparison techniques, we show the existence, uniqueness, non-existence, an...
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Veröffentlicht in: | Mediterranean journal of mathematics 2021-02, Vol.18 (1), Article 4 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, we consider the existence of positive solutions for a singular elliptic problem involving an asymptotically linear nonlinearity and depending on one positive parameter. Using variational methods, together with comparison techniques, we show the existence, uniqueness, non-existence, and regularity of the solutions. We also obtain a bifurcation-type result. |
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ISSN: | 1660-5446 1660-5454 |
DOI: | 10.1007/s00009-020-01646-9 |