Nonresonance conditions on the potential for a nonlinear nonautonomous Neumann problem
Sanhaji, Ahmed ; Dakkak, A.
Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019), / Harvested from Portal de Periódicos da UEM
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The aim of this paper is to establish the existence of the principal eigencurve of the p-Laplacian operator with the nonconstant weight subject to Neumann boundary conditions. We then study the nonresonce phenomena under the first eigenvalue and under the principal eigencurve, thus we obtain existence results for some nonautonomous Neumann elliptic problems involving the p-Laplacian operator.

Publié le : 2019-01-01
DOI : https://doi.org/10.5269/bspm.v38i3.36296 
@article{36296,
     title = {Nonresonance conditions on the potential for a nonlinear nonautonomous Neumann problem},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {38},
     year = {2019},
     doi = {10.5269/bspm.v38i3.36296},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/36296}
}

Sanhaji, Ahmed; Dakkak, A. Nonresonance conditions on the potential for a nonlinear nonautonomous Neumann problem. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i3.36296. http://gdmltest.u-ga.fr/item/36296/