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  • Práce shrnuje autorovy výsledky v teorii parciálních diferenciálních rovnic s p-Laplaciánem. Tyto rovnice mají uplatnění v glaciologii nebo při studiu nenewtonovských tekutin. Velká část práce je věnována oscilačním kriteriím pro tyto rovnice. Na rozdíl od obvyklých výskedků, kdy oscilační kriteria závisí pouze na strčdní hodnotě potenciálu na sférách se středem v počátku, kriteria odvozená v této práci závisí na potenciálujako na funkci n proměnných a jsou tudíž aplikovatelná i v silně neradiálních případech. (cs)
  • The book summarizes author's published results in theory of partial differential equations with p-Laplacian. These equations have applications in glaciology and non-Newtonian fluid theory. An important part is devoted to oscillation criteria for these equations. The difference between these criteria and usual results from the literature lies in the fact that our results depend on the whole potential function as a function in n variables and not only on the mean value of the potential function over spheres. Thus, our criteria work also if the potential is strongly radially asymmetric.
  • The book summarizes author's published results in theory of partial differential equations with p-Laplacian. These equations have applications in glaciology and non-Newtonian fluid theory. An important part is devoted to oscillation criteria for these equations. The difference between these criteria and usual results from the literature lies in the fact that our results depend on the whole potential function as a function in n variables and not only on the mean value of the potential function over spheres. Thus, our criteria work also if the potential is strongly radially asymmetric. (en)
Title
  • Oscillation theory of partial differential equations with p-Laplacian
  • Oscilační teorie parciálních diferenciálních rovnic s p-Laplaciánem (cs)
  • Oscillation theory of partial differential equations with p-Laplacian (en)
skos:prefLabel
  • Oscillation theory of partial differential equations with p-Laplacian
  • Oscilační teorie parciálních diferenciálních rovnic s p-Laplaciánem (cs)
  • Oscillation theory of partial differential equations with p-Laplacian (en)
skos:notation
  • RIV/62156489:43410/08:00128981!RIV09-GA0-43410___
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  • P(GA201/07/0145)
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  • RIV/62156489:43410/08:00128981
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  • differential equation; Laplacian (en)
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  • Oscillation theory of partial differential equations with p-Laplacian
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  • Mařík, Robert
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  • Mendelova zemědělská a lesnická univerzita v Brně
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  • 978-80-7375-215-6
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  • 43410
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