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  • V článku se vyšetřuje existence nezáporných řešení eliptických rovnic obsahujících konkávní nelinearitu, jejíž růst v nekonečnu je kritický ve smyslu Sobolevova exponentu. Pomocí různých variačních metod je dokázána existence alespoň dvou nezáporných řešení. (cs)
  • We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
  • We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions. (en)
Title
  • Kladná řešení nelineárních eliptických rovnic s konkávní a kritickou nelinearitou (cs)
  • On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
  • On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities (en)
skos:prefLabel
  • Kladná řešení nelineárních eliptických rovnic s konkávní a kritickou nelinearitou (cs)
  • On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
  • On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities (en)
skos:notation
  • RIV/49777513:23520/02:00000056!RIV07-GA0-23520___
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  • P(GA201/00/0376), Z(MSM 235200001)
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  • 656900
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  • RIV/49777513:23520/02:00000056
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  • elliptic equations; critical Sobolev exponent (en)
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  • PL - Polská republika
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  • [C83F64088BA1]
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  • Studia Mathematica
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  • Drábek, Pavel
  • Chabrowski, Jan
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  • 0039-3223
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  • 23520
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