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global minima

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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On a singular semilinear elliptic problem with an asymptotically linear nonlinearity
Part of
- Partial differential equations
- Elliptic equations and systems
Giovanni Anello, Francesca Faraci
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 146 / Issue 1 / February 2016

Published online by Cambridge University Press:

11 December 2015, pp. 59-77

Print publication:

February 2016
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In this paper we deal with a singular elliptic problem involving an asymptotically linear nonlinearity and depending on two positive parameters. We investigate the existence, uniqueness and non-existence of the minima of the functional associated with the problem and, by employing a natural and very general definition of a weak solution, we also obtain a bifurcation-type result.