On the spectrum of Robin boundary p-Laplacian problem

We study the following nonlinear eigenvalue problem with nonlinear Robin boundary condition We successfully investigate the existence at least of one nondecreasing sequence of positive eigenvalues λ . To this end we endow (Ω) with a norm invoking the trace and use the duality mapping on (Ω) to apply...

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Bibliographic Details
Published in:Moroccan journal of pure and applied analysis 2019-12, Vol.5 (2), p.279-293
Main Author: Khalil, Abdelouahed El
Format: Article
Language:English
Subjects:
35J35
35J40
35J66
58E05
c1-manifold
duality mapping
Laplacian operator
manifold
mini-max
nonlinear Robin boundary conditions
Spectrum of
spectrum of p-laplacian operator
Trace embedding theorems
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Summary:We study the following nonlinear eigenvalue problem with nonlinear Robin boundary condition We successfully investigate the existence at least of one nondecreasing sequence of positive eigenvalues λ . To this end we endow (Ω) with a norm invoking the trace and use the duality mapping on (Ω) to apply mini-max arguments on -manifold.
ISSN:2351-8227
2351-8227
DOI:10.2478/mjpaa-2019-0020