Existence of positive solutions and its asymptotic behavior of \((p(x),q(x))\)-Laplacian parabolic system. (English) Zbl 1423.35234
Summary: This paper deals with the existence of positively solution and its asymptotic behavior for parabolic system of \((p(x),q(x))\)-Laplacian system of partial differential equations using a sub and super solution according to some given boundary conditions, Our result is an extension of Boulaaras’s works which studied the stationary case, this idea is new for evolutionary case of this kind of problem.
MSC:
| 35K92 | Quasilinear parabolic equations with \(p\)-Laplacian |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35B09 | Positive solutions to PDEs |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
References:
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