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Displaying similar documents to “Eigenvalue problems and bifurcation of nonhomogeneous semilinear elliptic equations in exterior strip domains.”

Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues

Wolfgang Rother (1993)

Commentationes Mathematicae Universitatis Carolinae

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We prove existence and bifurcation results for a semilinear eigenvalue problem in N ( N 2 ) , where the linearization — has no eigenvalues. In particular, we show that under rather weak assumptions on the coefficients λ = 0 is a bifurcation point for this problem in H 1 , H 2 and L p ( 2 p ) .