Multiple positive solutions of nonhomogeneous elliptic equations in unbounded domains.
Hsu, Tsing-San (2007)
Abstract and Applied Analysis
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Hsu, Tsing-San (2007)
Abstract and Applied Analysis
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Hsu, Tsing-San (2006)
International Journal of Mathematics and Mathematical Sciences
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Yuan, Chunmei, Guo, Shujuan, Tong, Kaiyu (2010)
Mathematical Problems in Engineering
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Hsu, Tsing-San, Lin, Huei-Li (2009)
Boundary Value Problems [electronic only]
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Marita Gazzini, Enrico Serra (2008)
Annales de l'I.H.P. Analyse non linéaire
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Cekic, Bilal, Mashiyev, Rabil A. (2010)
Abstract and Applied Analysis
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de Morais Filho, D.C., Miyagaki, O.H. (2005)
Abstract and Applied Analysis
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Wolfgang Rother (1993)
Commentationes Mathematicae Universitatis Carolinae
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We prove existence and bifurcation results for a semilinear eigenvalue problem in , where the linearization — has no eigenvalues. In particular, we show that under rather weak assumptions on the coefficients is a bifurcation point for this problem in and .
Dimitri Mugnai (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant’s Nodal theorem.