JournalspmVol. 70 , No. 1DOI 10.4171/pm/1923

Another approach on an elliptic equation of Kirchhoff type

  • Anderson L.A. de Araujo

    Universidade Federal de Viçosa, Brazil
Another approach on an elliptic equation of Kirchhoff type cover

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Abstract

This paper is concerned with the existence of solutions to the class of nonlocal boundary value problems of the type

where is a smooth bounded domain of and is a positive continuous function. By assuming that is a Carathéodory function which growths at most , , and under a suitable growth condition on , one proves an existence result by applying the Leray–Schauder fixed point theorem.