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Semilinear Elliptic Systems with Dependence on the Gradient

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Abstract

We provide results on the existence, non-existence, multiplicity, and localization of positive radial solutions for semilinear elliptic systems with Dirichlet or Robin boundary conditions on an annulus. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università della Calabria, 87036, Arcavacata di Rende, Cosenza, Italy

    Filomena Cianciaruso & Paolamaria Pietramala

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  1. Filomena Cianciaruso
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  2. Paolamaria Pietramala
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Correspondence to Filomena Cianciaruso.

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Cianciaruso, F., Pietramala, P. Semilinear Elliptic Systems with Dependence on the Gradient. Mediterr. J. Math. 15, 152 (2018). https://doi.org/10.1007/s00009-018-1203-z

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  • DOI: https://doi.org/10.1007/s00009-018-1203-z

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