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Boulaaras, Salah

Existence of positive solutions for a new class of Kirchhoff parabolic systems. (English) Zbl 1443.35075

Rocky Mt. J. Math. 50, No. 2, 445-454 (2020).
Summary: We study the existence of weak positive solutions for a new class of Kirchhoff parabolic systems in bounded domains with multiple parameters taking into account the symmetry conditions and the right-hand side defined as a multiplication of two separate functions. Our results are natural extensions of previous results in the field, which used the same method for some classical elliptic equations.

Cited in 14 Documents

MSC:

35K57 Reaction-diffusion equations
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35D30 Weak solutions to PDEs
35J62 Quasilinear elliptic equations

Keywords:

Kirchhoff parabolic systems; existence; positive solutions; sub-supersolution
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\textit{S. Boulaaras}, Rocky Mt. J. Math. 50, No. 2, 445--454 (2020; Zbl 1443.35075)
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References:

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