In this paper, we consider a generalized Kirchhoff equation in a bounded domain under the effect of a sublinear nonlinearity. Under suitable assumptions on the data of the problem, we show that, with a simple change of variable, the equation can be reduced to a classical semilinear equation and then studied with standard tools.

On a generalized Kirchhoff equation with sublinear nonlinearities

Siciliano, Gaetano
2016-01-01

Abstract

In this paper, we consider a generalized Kirchhoff equation in a bounded domain under the effect of a sublinear nonlinearity. Under suitable assumptions on the data of the problem, we show that, with a simple change of variable, the equation can be reduced to a classical semilinear equation and then studied with standard tools.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/474270
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