Geodesic
Multiple Weak Solutions of Biharmonic Systems
Minimax theory and its applications, Tome 7 (2022) no. 1
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We obtain sufficient conditions for the existence of at least three weak solutions of a (p, q)- biharmonic system. We also consider the applications of our main theorem to some special cases of the system. The proof of our main theorem utilizes the variational approaches and a recent theorem of Ricceri on the existence of two global minima of a functional.
Mots-clés : Biharmonic system, principal eigenvalues, variational methods, multiple weak solutions 
@article{MTA_2022_7_1_a3,
     author = {Lingju Kong and Roger Nichols},
     title = {Multiple {Weak} {Solutions} of {Biharmonic} {Systems}},
     journal = {Minimax theory and its applications},
     year = {2022},
     volume = {7},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2022_7_1_a3/}
}
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Lingju Kong and Roger Nichols. Multiple Weak Solutions of Biharmonic Systems. Minimax theory and its applications, Tome 7 (2022) no. 1. http://geodesic.mathdoc.fr/item/MTA_2022_7_1_a3/