Geodesic
Multiple solutions for nonlinear generalized-Kirchhoff type potential systems in unbounded domains
Filomat, Tome 37 (2023) no. 13, p. 4317

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DOI

In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems in unbounded domains, which involves a general variable exponent elliptic operator. Under some suitable conditions on the nonlinearities, we establish existence of at least three weak solutions for the problem. The proof of our main result uses variational methods and the critical theorem of Bonanno and Marano.
DOI : 10.2298/FIL2313317C
Classification : 35J60, 47J30, 58E05
Keywords: Multiple solutions, variable exponent spaces, Kirchhoff-type problems, p-Laplacian, p(x)-Laplacian, generalized Capillary operator, critical points theory 
Nabil Chems Eddine; Anass Ouannasser. Multiple solutions for nonlinear generalized-Kirchhoff type potential systems in unbounded domains. Filomat, Tome 37 (2023) no. 13, p. 4317 . doi: 10.2298/FIL2313317C
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     author = {Nabil Chems Eddine and Anass Ouannasser},
     title = {Multiple solutions for nonlinear {generalized-Kirchhoff} type potential systems in unbounded domains},
     journal = {Filomat},
     pages = {4317 },
     year = {2023},
     volume = {37},
     number = {13},
     doi = {10.2298/FIL2313317C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313317C/}
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