Tomiczek, Petr2021-06-012021-06-012005-08-29Tomiczek, P. (2005). Potential Landesman-Lazer type conditions and the Fučík spectrum. <i>Electronic Journal of Differential Equations, 2005</i>(94), pp. 1-12.1072-6691https://hdl.handle.net/10877/13695We prove the existence of solutions to the nonlinear problem u''(x) + λ+u+(x) = λ_u-(x) + g(x, u(x)) = ƒ(x), x ∈ (0, π), u(0) = u(π) = 0 where the point [λ+, λ_] is a point of the Fučík spectrum and the nonlinearity g(x, u(x)) satisfies a potential Landesman-Lazer type condition. We use a variational method based on the organization of the Saddle Point Theorem.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalResonanceEigenvaluesJumping nonlinearitiesFučík spectrumArticle