Geodesic
Elliptic Kirchhoff-type system with two convections terms and under Dirichlet boundary conditions
Filomat, Tome 37 (2023) no. 28, p. 9693

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DOI

This work discusses the existence of weak solutions for a system of Kirchhoff-type involving variable exponent (α1(m), α2(m))-Laplacian operators and under the Dirichlet boundary conditions. Under appropriate hypotheses on the nonlinear terms and the Kirchhoff functions, the existence of weak solutions is obtained on the spaces W1,α1(m) 0 (D) × W1,α2(m) 0 (D). The proof of the main result is based on a topological degree argument for a class of demicontinuous operators of (S+)-type.
DOI : 10.2298/FIL2328693M
Classification : 35J92, 35J30, 47H11
Keywords: Elliptic Kirchhoff-type system, variable exponent, weak solutions, convections terms, topological degree methods, nonlinear equations 
Noureddine Moujane; Mohamed El Ouaarabi; Chakir Allalou. Elliptic Kirchhoff-type system with two convections terms and under Dirichlet boundary conditions. Filomat, Tome 37 (2023) no. 28, p. 9693 . doi: 10.2298/FIL2328693M
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     title = {Elliptic {Kirchhoff-type} system with two convections terms and under {Dirichlet} boundary conditions},
     journal = {Filomat},
     pages = {9693 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328693M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328693M/}
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