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
1. Verfasser: Lima Alves, Ricardo
Format: Artikel
Sprache:eng
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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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-020-01646-9