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  • We consider a nonlinear elliptic system of the semipositone cooperative type where ?depending on a parameter on a bounded domain sufficiently smooth boundary. The reactive terms are Caratheodory functions that are superlinear at infinity. We prove that the system has a positive strong solution for small values of the parameter by using degree theory combined with re-scaling argument and a uniform apriori bound of positive strong solutions to some Lane-Emden type of systems.
  • We consider a nonlinear elliptic system of the semipositone cooperative type where ?depending on a parameter on a bounded domain sufficiently smooth boundary. The reactive terms are Caratheodory functions that are superlinear at infinity. We prove that the system has a positive strong solution for small values of the parameter by using degree theory combined with re-scaling argument and a uniform apriori bound of positive strong solutions to some Lane-Emden type of systems. (en)
Title
  • Existence of positive solutions for a class of superlinear semipositone systems
  • Existence of positive solutions for a class of superlinear semipositone systems (en)
skos:prefLabel
  • Existence of positive solutions for a class of superlinear semipositone systems
  • Existence of positive solutions for a class of superlinear semipositone systems (en)
skos:notation
  • RIV/49777513:23520/13:43918833!RIV14-MSM-23520___
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  • P(ED1.1.00/02.0090)
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  • 2
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  • 73910
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  • RIV/49777513:23520/13:43918833
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  • Non-autonomous; Bifurcation from infinity; Degree theory; Positive solutions; Superlinear; Semipositone; Laplacian Systems (en)
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  • US - Spojené státy americké
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  • [DD0D0D75344C]
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  • Journal of Mathematical Analysis and Applications
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  • 408
http://linked.open...iv/tvurceVysledku
  • Girg, Petr
  • Chhetri, Maya
issn
  • 0022-247X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jmaa.2013.06.041
http://localhost/t...ganizacniJednotka
  • 23520
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