Solution to a Semilinear Problem on Type II Regions Determined by the Fucik Spectrum
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We prove the existence of solutions to the semi-linear problem
u'' (x) + ⍺u+(x) + βu-(x) = ƒ(x), x ∈ (0, π),
u(0) = u(π) = 0
where the point (⍺, β) falls in regions of type (II) between curves of the Fučík spectrum. We use a variational method based on the generalization of the Saddle Point Theorem.
CitationTomiczek, P. (2003). Solution to a semilinear problem on type II regions determined by the Fucik spectrum. Electronic Journal of Differential Equations, 2003(08), pp. 1-10.
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