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On the Fučik spectrum and a resonance problem for the -Laplacian with a nonlinear boundary condition

✍ Scribed by Sandra R. Martinez; Julio D. Rossi

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
368 KB
Volume
59
Category
Article
ISSN
0362-546X

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On the Fu c ˘ ik spectrum for the -Lapla
On the Fu c ˘ ik spectrum for the -Laplacian with Robin boundary condition
✍ Dumitru Motreanu; Patrick Winkert 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 283 KB

The aim of this paper is to study the Fucik spectrum of the p-Laplacian with Robin boundary condition given by where β ≥ 0. If β = 0, it reduces to the Fucik spectrum of the negative Neumann p-Laplacian. The existence of a first nontrivial curve C of this spectrum is shown and we prove some propert