Variable exponent p(x)-Kirchhoff type problem with convection

نویسندگان

چکیده

We study a nonlinear p(x)-Kirchhoff type problem with Dirichlet boundary condition, in the case of reaction term depending also on gradient (convection). Using topological approach based Galerkin method, we discuss existence two notions solutions: strong generalized solution and weak solution. Strengthening bound Kirchhoff (positivity condition), establish solution, this time using theory operators monotone type.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2022

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2021.125721