Nonresonance conditions on the potential for a nonlinear nonautonomous Neumann problem | Zendy

Ahmed Sanhaji | Zendy; Ahmed Dakkak | Zendy

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Nonresonance conditions on the potential for a nonlinear nonautonomous Neumann problem

Author(s) -

Ahmed Sanhaji,

Ahmed Dakkak

Publication year - 2019

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v38i3.36296

Subject(s) - neumann boundary condition , eigenvalues and eigenvectors , mathematics , laplace operator , operator (biology) , principal (computer security) , elliptic operator , p laplacian , mathematical analysis , nonlinear system , boundary value problem , principal part , boundary (topology) , von neumann architecture , pure mathematics , computer science , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , operating system

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.

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