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Positive solutions of quasilinear elliptic systems with the natural growth in the gradient
Zubrinic, Darko
2000
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)
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.
Languages
en
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