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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2000)
  6. Positive solutions of quasilinear elliptic systems with the natural growth in the gradient
 
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Positive solutions of quasilinear elliptic systems with the natural growth in the gradient

Zubrinic, Darko
2000
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ISSN
0049-4704
http://hdl.handle.net/10077/4258
  • Article

Abstract
We study the problem of existence and nonexistence of positive, spherically symmetric solutions of a quasilinear elliptic system involving p-Laplacians, with the natural growth in the gradient on the right-hand sfide. The existence proof is constructive, with solutions possessing explicit integral representation. We also obtain various qualitative results. The elliptic system is studied by relating it to the corresponding system of singular ODE's of the first order.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2000)
Subjects
  • Quasilinear

  • Elliptic system

  • Positive solution

  • Spherically symmetric...

Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Darko Zubrinic, "Positive solutions of quasilinear elliptic systems with the natural growth in the gradient", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2000), pp. 65-102.
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en
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