A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p

A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p

We consider the perturbed nonlinear boundary condition problem Using the Sobolev trace embedding and the duality mapping defined on (Ω), we prove that this problem bifurcates from the principal eigenvalue of the eigenvalue problem

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Veröffentlicht in:Moroccan journal of pure and applied analysis 2017-12, Vol.3 (2), p.186-198
1. Verfasser: El Khalil, Abdelouahed
Format: Artikel
Sprache:eng
Schlagworte:
35J20
35J40
35J70
35J92
bifurcation phenomenon
duality mapping
Laplacian operator
nonlinear boundary conditions
p-laplacian operator
principal eigenvalue
Sobolev trace embedding
topological degree
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Beschreibung
Zusammenfassung:We consider the perturbed nonlinear boundary condition problem Using the Sobolev trace embedding and the duality mapping defined on (Ω), we prove that this problem bifurcates from the principal eigenvalue of the eigenvalue problem
ISSN:2605-6364
2351-8227
DOI:10.1515/mjpaa-2017-0015