Existence Results for some $p(x)$-Kirchhoff Type Problem with Dependence on the Gradient
DOI:
https://doi.org/10.5890/DNC.2024.12.004Abstract
In the present paper, we investigate the existence of at least one weak solution to the Dirichlet boundary value problem involving the $p(x)$-Kirchhoff type equation with a reaction term depending also on the gradient (convection). Our result is obtained by means of the theory of topological degree and the theory of variable exponent Sobolev spaces.References
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