A result on the bifurcation from the principal eigenvalue of theAp-Laplacian
1997 ◽
Vol 2
(3-4)
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pp. 185-195
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Keyword(s):
We study the following bifurcation problem in any bounded domainΩinℝN:{Apu:=−∑i,j=1N∂∂xi[(∑m,k=1Namk(x)∂u∂xm∂u∂xk)p−22aij(x)∂u∂xj]= λg(x)|u|p−2u+f(x,u,λ),u∈W01,p(Ω).. We prove that the principal eigenvalueλ1of the eigenvalue problem{Apu=λg(x)|u|p−2u,u∈W01,p(Ω),is a bifurcation point of the problem mentioned above.
2015 ◽
Vol 25
(13)
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pp. 1550183
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1999 ◽
Vol 129
(1)
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pp. 153-163
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2019 ◽
Vol 9
(1)
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pp. 305-326
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2019 ◽
Vol 22
(5)
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pp. 1414-1436
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Keyword(s):
1992 ◽
Vol 52
(3)
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pp. 725-729
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2014 ◽
Vol 26
(03)
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pp. 1450005
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2009 ◽
Vol 139
(2)
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pp. 273-285
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