Perturbedp-Laplacian inRN: Bifurcation from the Principal Eigenvalue
نویسندگان
چکیده
منابع مشابه
A RESULT ON THE BIFURCATION FROM THE PRINCIPAL EIGENVALUE OF THE Ap-LAPLACIAN
We study the following bifurcation problem in any bounded domain Ω in IR : Apu := − N ∑ i,j=1 ∂ ∂xi ( N ∑ m,k=1 amk(x) ∂u ∂xm ∂u ∂xk ) p−2 2 aij(x) ∂u ∂xj = λg(x)|u|p−2u+ f(x, u, λ), u ∈ W 1,p 0 (Ω). We prove that the principal eigenvalue λ1 of the eigenvalue problem { Apu = λg(x)|u|p−2u, u ∈ W 1,p 0 (Ω), is a bifurcation point of the problem mentioned above.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0455