Multiplicity results for nonlocal elliptic transmission problem with variable exponent

In this paper, a transmission problem given by a system of two nonlinear equations of p(x)-Kirchho type with nonstandard growth conditions are studied. Using the mountain pass theorem combined with the Ekeland's variational principle, we obtain at least two distinct, non-trivial weak solutions.

Bibliographic Details
Main Authors: Ayoujil Abdesslem, Mimoun Moussaoui
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2015-08-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23875