| Abstract: |
| In this talk, we will present some recent results on nonlocal $p(x)$ Carrier`s equation with Dirichlet boundary value conditions. One of the main novelties is the possibility of having a sign-changing function in the nonlocal term. To obtain our results, we combine sub-super solution, variational, and truncation techniques. Finally, multiplicity of solutions is obtained via a one-dimensional fixed-point problem. |
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