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- W3204342562 abstract "We study a nonlinear p(x)-Kirchhoff type problem with Dirichlet boundary condition, in the case of a reaction term depending also on the gradient (convection). Using a topological approach based on the Galerkin method, we discuss the existence of two notions of solutions: strong generalized solution and weak solution. Strengthening the bound on the Kirchhoff type term (positivity condition), we establish existence of weak solution, this time using the theory of operators of monotone type." @default.
- W3204342562 created "2021-10-11" @default.
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- W3204342562 date "2022-02-01" @default.
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- W3204342562 title "Variable exponent p(x)-Kirchhoff type problem with convection" @default.
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- W3204342562 doi "https://doi.org/10.1016/j.jmaa.2021.125721" @default.
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