Multiplicity results for nonlocal elliptic transmission problem with variable exponent

Abdesslem Ayoujil; Mimoun Moussaoui

doi:10.5269/bspm.v33i2.23875

Abdesslem Ayoujil Regional Centre of Trades Education and Training
Mimoun Moussaoui University Mohamed I

DOI: https://doi.org/10.5269/bspm.v33i2.23875

Keywords: Variational method, multiple solutions, nonlocal elliptic transmission problem, Mountain Pass Theorem, Ekeland's principle

Abstract

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.

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Author Biography

Mimoun Moussaoui, University Mohamed I

Faculty of sciences

Department of Mathematics

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