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Global Bifurcation from the First Eigenvalue for a System of p - Laplacians

✍ Scribed by Jacqueline Fleckinger; Raäl Manásevich; Franqois De Thélin

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
913 KB
Volume
182
Category
Article
ISSN
0025-584X

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✦ Synopsis

We prove here bifurcation and existence results for a nonlinear elliptic system involving the p -Laplacian.

We say that i is an eigenvalue of (E,) if there exists a nontrivial pair (u,v) E ( W i ' p ) 2 1991 Mathematics Subject Classification. 35; 35 G ; 35 J. Keywords and phrases. p -Laplacian, systems, global bifurcation

Proof. We note first that (ii) follows from (i). Indeed, by (3.2) and (2.1) we have that (3.4) S(q, h) = RO [ h + bcRd ( 4 , h)] .

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