Simplicity and stability of the first eigenvalue of a nonlinear elliptic system
2005 ◽
Vol 2005
(10)
◽
pp. 1555-1563
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Keyword(s):
We prove some properties of the first eigenvalue for the elliptic system−Δpu=λ|u|α|v|βvinΩ,−Δqv=λ|u|α|v|βuinΩ,(u,v)∈W01,p(Ω)×W01,q(Ω). In particular, the first eigenvalue is shown to be simple. Moreover, the stability with respect to(p,q)is established.
2019 ◽
Vol 471
(1-2)
◽
pp. 147-169
2013 ◽
Vol 56
(9)
◽
pp. 1831-1844
◽
2015 ◽
Vol 35
(5)
◽
pp. 2151-2164
◽
Keyword(s):