About: Resonance with respect to the Fučík spectrum for non-selfadjoint operators     Goto   Sponge   NotDistinct   Permalink

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Description
  • In this paper, we consider a real linear (non-selfadjoint) operator $L: Dom(L) \subset L^2(\Omega) \to L^2(\Omega)$ and study the solvability of the problem $Lu - \alpha u^{+} + \beta u^{-} - g(u) + f = 0$ in the resonance case with respect to the Fu\v{c}\'{\i}k spectrum $\Sigma(L)$. We extend the standard Landesman-Lazer type conditions and compare our result with results for selfadjoint operators as well as with results for the resonance in point spectrum (i.e., for $\alpha = \beta\in\sigma(L)$).
  • In this paper, we consider a real linear (non-selfadjoint) operator $L: Dom(L) \subset L^2(\Omega) \to L^2(\Omega)$ and study the solvability of the problem $Lu - \alpha u^{+} + \beta u^{-} - g(u) + f = 0$ in the resonance case with respect to the Fu\v{c}\'{\i}k spectrum $\Sigma(L)$. We extend the standard Landesman-Lazer type conditions and compare our result with results for selfadjoint operators as well as with results for the resonance in point spectrum (i.e., for $\alpha = \beta\in\sigma(L)$). (en)
Title
  • Resonance with respect to the Fučík spectrum for non-selfadjoint operators
  • Resonance with respect to the Fučík spectrum for non-selfadjoint operators (en)
skos:prefLabel
  • Resonance with respect to the Fučík spectrum for non-selfadjoint operators
  • Resonance with respect to the Fučík spectrum for non-selfadjoint operators (en)
skos:notation
  • RIV/49777513:23520/13:43918878!RIV14-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • P(ED1.1.00/02.0090), P(GA13-00863S)
http://linked.open...iv/cisloPeriodika
  • December 2013
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  • 102615
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  • RIV/49777513:23520/13:43918878
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  • Landesman-Lazer condition; Non-selfadjoint operators; Resonance; Fučík spectrum (en)
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  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [F5FF262AFA2F]
http://linked.open...i/riv/nazevZdroje
  • Nonlinear Analysis
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  • 93
http://linked.open...iv/tvurceVysledku
  • Nečesal, Petr
  • Holubová, Gabriela
issn
  • 0362-546X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.na.2013.07.022
http://localhost/t...ganizacniJednotka
  • 23520
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