We provide new results on the existence, nonexistence, and multiplicity of non- negative radial solutions for semilinear elliptic systems with Neumann bound- ary conditions on an annulus. Our approach is topological and relies on the classical fixed-point index. We present an example to illustrate our theory.

Multiple positive radial solutions for Neumann elliptic systems with gradient dependence

Filomena Cianciaruso;Gennaro Infante
;
Paolamaria Pietramala
2018-01-01

Abstract

We provide new results on the existence, nonexistence, and multiplicity of non- negative radial solutions for semilinear elliptic systems with Neumann bound- ary conditions on an annulus. Our approach is topological and relies on the classical fixed-point index. We present an example to illustrate our theory.
2018
Elliptic system, annular domain, radial solution, positive solution, multiplicity, non-existence, cone, fixed point index
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/284922
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