| Volume 15, Number 1, 2025, Pages - DOI：10.11948/JAAC-2024-0104 |
| ON A CLASS OF p(x, ·)-INTEGRO-DIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL |
| Nezha KAMALI,RAVI P AGARWAL,Elhoussine Azroul,Mohammed SHIMI |
| Keywords:General nonlocal integro-differential equation, Variational methods, p(x, ·)-Kirchhoff-type problem, Generalized fractional Sobolev spaces. |
| Abstract: |
| In this paper, we consider a class of p(x, ·)-integro-differential Kirchhoff-type problem with Dirichlet boundary conditions. Considering various variational methods, we establish the existence of multiple solutions taking into account the different situations concerning the non-linearity and growth conditions. |
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