paper

On a generalized Kirchhoff equation with sublinear nonlinearities

arXiv:1603.03000 · doi:10.1002/mma.4240

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.

arXiv comment13 pages