Armenian Journal of Mathematics, 6(2)
2015; 53–63
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Existence of Solutions for SemilinearIntegro-differential Equations of p-Kirchhoff Type

Eugenio Cabanillas Lapa*, Willy Barahona Martinez, Benigno Godoy Torres, Gabriel Rodriguez Varillas

Received: 2024-12-19 · Published: 2015-01-31

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Existence of Solutions for SemilinearIntegro-differential Equations of p-Kirchhoff Type
Authors
Eugenio Cabanillas Lapa, Willy Barahona Martinez, Benigno Godoy Torres, Gabriel Rodriguez Varillas
Source journal
Armenian Journal of Mathematics, 6(2)
Published
2015-01-31
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/103

Abstract

In our research we will study the existence of weak solutions to the problem−[M(‖u‖p1,p)]p−1∆pu=f(x,u) +∫Ωk(x,y)H(u)dyin Ω,with zero Dirichlet boundary condition on a bounded smooth domain ofRn,1< p < N;M,f,kandHare given functions. By means of the Galerkin methodand using of the Brouwer Fixed Point theorem we get our results. The uniquenessof a weak solution is also considered.
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