Existence of positive solutions of nonlocal \(p(x)\)-Kirchhoff evolutionary systems via sub-super solutions concept

DOI10.3390/sym11020253zbMath1416.35133OpenAlexW2913119792MaRDI QIDQ2311045

Ali Allahem, Salah Mahmoud Boulaaras

Publication date: 10 July 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11020253

zbMATH Keywords

positive solutions\(p(x)\)-Kirchhoff systemssub-super solutions method

Mathematics Subject Classification ID

Second-order parabolic equations (35K10) Positive solutions to PDEs (35B09)

Related Items (13)

Existence of Positive Solutions for a Class of Kirrchoff Elliptic Systems with Right Hand Side Defined as a Multiplication of Two Separate Functions ⋮ A two dimensional mathematical model of heat propagation equation and its applications ⋮ Unnamed Item ⋮ On some singular problems involving the fractional p(x,.) -Laplace operator ⋮ Existence of positive solutions for a new class of Kirchhoff parabolic systems ⋮ Existence of positive solutions of Kirchhoff hyperbolic systems with multiple parameters ⋮ A class of variable-order fractional \(p(\cdot)\)-Kirchhoff-type systems ⋮ On a terminal value problem for a system of parabolic equations with nonlinear-nonlocal diffusion terms ⋮ Blow-up of solutions for a class quasilinear wave equation with nonlinearity variable exponents ⋮ Existence of positive solutions for a class of \(\left(p \left(x\right), q \left(x\right)\right)\)-Laplacian elliptic systems with multiplication of two separate functions ⋮ A new proof of existence of positive weak solutions for sublinear Kirchhoff elliptic systems with multiple parameters ⋮ Existence of positive solutions and its asymptotic behavior of \((p(x),q(x))\)-Laplacian parabolic system ⋮ A two-dimensional mathematical model of heat propagation equations and their significance for soil temperature

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