About: Potential Landesman-Lazer type conditions and the Fucik spectrum     Goto   Sponge   NotDistinct   Permalink

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Description
  • Dokážeme existenci řešení nelineární úlohy u''+\lambda_+u^+ +\lambda_-u^-+g(x,u)=f, kde bod [\lambda_+,\lambda_] je bodem Fučíkova spektra a nelinearita g splňuje potenciální Landesma-Lazerovy podmínky. K důkazu využijeme variační metody založené na větě o sedlovém bodu. (cs)
  • 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.
  • 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)
Title
  • Potential Landesman-Lazer type conditions and the Fucik spectrum
  • Landesman-Lazerovy podmínky a Fučíkovo spektrum (cs)
  • Potential Landesman-Lazer type conditions and the Fucik spectrum (en)
skos:prefLabel
  • Potential Landesman-Lazer type conditions and the Fucik spectrum
  • Landesman-Lazerovy podmínky a Fučíkovo spektrum (cs)
  • Potential Landesman-Lazer type conditions and the Fucik spectrum (en)
skos:notation
  • RIV/49777513:23520/05:00000393!RIV07-MSM-23520___
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  • 537234
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  • RIV/49777513:23520/05:00000393
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  • Resonance; eigenvalue; jumping nonlinearities; Fucik spectrum (en)
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  • US - Spojené státy americké
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  • [1653A59515EC]
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  • Electronic Journal of Differential Equations
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  • Tomiczek, Petr
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  • 1072-6691
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  • 23520
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