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  • V tomto článku dokazujeme existenci řešení semilineárního problému u''+m^2u+g(x,u)=f, u(0)=u(\pi)=0. Předpokládáme, že jsou splněny podmínky Landesman-Lazerova typu a k důkazu používám variační metodu založenou na věte o sedlovém bodu. (cs)
  • In this paper we prove the existence of solutions to the semi-linear problem u''+m^2u+g(x,u)=f, u(0)=u(\pi)=0 at resonance. We assume a Landesman-Lazer type condition and use a variational method based on the Saddle Point Theorem.
  • In this paper we prove the existence of solutions to the semi-linear problem u''+m^2u+g(x,u)=f, u(0)=u(\pi)=0 at resonance. We assume a Landesman-Lazer type condition and use a variational method based on the Saddle Point Theorem. (en)
Title
  • The generalization of the Landesman-Lazer condition
  • Zobecnění Landesman-Lazerovy podmínky (cs)
  • The generalization of the Landesman-Lazer condition (en)
skos:prefLabel
  • The generalization of the Landesman-Lazer condition
  • Zobecnění Landesman-Lazerovy podmínky (cs)
  • The generalization of the Landesman-Lazer condition (en)
skos:notation
  • RIV/49777513:23520/05:00000232!RIV06-MSM-23520___
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  • RIV/49777513:23520/05:00000232
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  • resonance; eigenvalue; Landesman-Lazer condition (en)
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  • US - Spojené státy americké
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  • Electronic Journal of Differential Equations
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  • Tomiczek, Petr
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  • 23520
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