Geodesic
Sequences of weak solutions for a Navier problem driven by the \(p(x)\)-biharmonic operator
Minimax theory and its applications, Tome 4 (2019) no. 1
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We derive the existence of infinitely many solutions for an elliptic problem involving both the px-biharmonic and the px-Laplacian operators under Navier boundary conditions. Our approach is of variational nature and does not require any symmetry of the nonlinearities. Instead, a crucial role is played by suitable test functions in some variable exponent Sobolev space, of which we provide the abstract structure better suited to the framework.
Mots-clés : p(x)-biharmonic operator, p(x)-Laplacian operator, Navier problem, multiplicity 
@article{MTA_2019_4_1_a4,
     author = {Filippo Cammaroto and Luca Vilasi},
     title = {Sequences of weak solutions for a {Navier} problem driven by the \(p(x)\)-biharmonic operator},
     journal = {Minimax theory and its applications},
     year = {2019},
     volume = {4},
     number = {1},
     zbl = {1415.35111},
     url = {http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a4/}
}
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Filippo Cammaroto; Luca Vilasi. Sequences of weak solutions for a Navier problem driven by the \(p(x)\)-biharmonic operator. Minimax theory and its applications, Tome 4 (2019) no. 1. http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a4/