"Potential Landesman-Lazer type conditions and the Fucik spectrum"@en . "Z(MSM4977751301)" . . "23520" . . . "12"^^ . . . "[1653A59515EC]" . "1"^^ . . . "Landesman-Lazerovy podm\u00EDnky a Fu\u010D\u00EDkovo spektrum"@cs . "1"^^ . . . "0" . "Resonance; eigenvalue; jumping nonlinearities; Fucik spectrum"@en . "Potential Landesman-Lazer type conditions and the Fucik spectrum" . . "We prove the existence of solutions to the nonlinear problem u''+\\lambda_+u^+ +\\lambda_-u^-+g(x,u)=f where the point [\\lambda_+,\\lambda_] is a point of the Fucik spectrum and the nonlinearity g satisfies a potential Landesman-Lazer type condition. We use a variational method based on the generalization of the Saddle Point Theorem."@en . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "RIV/49777513:23520/05:00000393!RIV07-MSM-23520___" . "1072-6691" . . . "Dok\u00E1\u017Eeme existenci \u0159e\u0161en\u00ED neline\u00E1rn\u00ED \u00FAlohy u''+\\lambda_+u^+ +\\lambda_-u^-+g(x,u)=f, kde bod [\\lambda_+,\\lambda_] je bodem Fu\u010D\u00EDkova spektra a nelinearita g spl\u0148uje potenci\u00E1ln\u00ED Landesma-Lazerovy podm\u00EDnky. K d\u016Fkazu vyu\u017Eijeme varia\u010Dn\u00ED metody zalo\u017Een\u00E9 na v\u011Bt\u011B o sedlov\u00E9m bodu."@cs . . "Tomiczek, Petr" . "RIV/49777513:23520/05:00000393" . "Potential Landesman-Lazer type conditions and the Fucik spectrum" . . "1" . "Potential Landesman-Lazer type conditions and the Fucik spectrum"@en . . "Landesman-Lazerovy podm\u00EDnky a Fu\u010D\u00EDkovo spektrum"@cs . "537234" . "We prove the existence of solutions to the nonlinear problem u''+\\lambda_+u^+ +\\lambda_-u^-+g(x,u)=f where the point [\\lambda_+,\\lambda_] is a point of the Fucik spectrum and the nonlinearity g satisfies a potential Landesman-Lazer type condition. We use a variational method based on the generalization of the Saddle Point Theorem." . "Electronic Journal of Differential Equations" . .