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  • V článku je uveden soubor výsledků o kvazilineárních okrajových úlohách obsahujících p-laplacián. Zvláštní pozornost je věnována problémům v rezonanci, které vedou ke studiu spektrálních nelineárních úloh. Vedle hlavních tvrzení, která jsou uvedená do historického kontextu, jsou zde zmíněny některé otevřené problémy, které jsou výzvou pro vývoj nových metod nelineární analýzy. (cs)
  • In this paper we give survey of the results concerning the solvability of certain quasilinear boundary value problems which contain the p-Laplacian as a main part. Special attention is paid to the resonance problems which lead naturally to the study of spectral properties of nonlinear operators. Besides statements of principal results in the historical context we also mention some open problems which seem to be a great challenge for nonlinear analysts.
  • In this paper we give survey of the results concerning the solvability of certain quasilinear boundary value problems which contain the p-Laplacian as a main part. Special attention is paid to the resonance problems which lead naturally to the study of spectral properties of nonlinear operators. Besides statements of principal results in the historical context we also mention some open problems which seem to be a great challenge for nonlinear analysts. (en)
Title
  • The p-Laplacian - mascot of nonlinear analysis
  • The p-Laplacian - mascot of nonlinear analysis (en)
  • p-laplacián - maskot nelineární analýzy (cs)
skos:prefLabel
  • The p-Laplacian - mascot of nonlinear analysis
  • The p-Laplacian - mascot of nonlinear analysis (en)
  • p-laplacián - maskot nelineární analýzy (cs)
skos:notation
  • RIV/49777513:23520/07:00000189!RIV08-MSM-23520___
http://linked.open.../vavai/riv/strany
  • 85
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  • Z(MSM4977751301)
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  • 0
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  • 441493
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  • RIV/49777513:23520/07:00000189
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  • The p-Laplacian; nonlinear spectral analysis; nonlinear Fredholm alternative; bifurcation from infinity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [30B9685BB866]
http://linked.open...i/riv/nazevZdroje
  • Acta Mathematica Universitatis Comenianae
http://linked.open...in/vavai/riv/obor
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http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Drábek, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 0862-9544
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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