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arXiv · 1912.09615

Existence of positive solution for a singular elliptic problem with an asymptotically linear nonlinearity

Ricardo Lima Alves
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Abstract

In this paper we consider the existence of positive solutions for a singular elliptic problem involving an asymtotically 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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Ricardo Lima Alves. 2019-12-20. Existence of positive solution for a singular elliptic problem with an asymptotically linear nonlinearity. https://doi.org/10.1007/s00009-020-01646-9

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