Glasnik matematički, Vol. 49 No. 2, 2014.
Original scientific paper
https://doi.org/10.3336/gm.49.2.10
On qualitative properties of solutions of quasilinear elliptic equations with strong dependence on the gradient
Jadranka Kraljević
; Department of Mathematics, Faculty of Economics, University of Zagreb, Kennedyev trg 6, 10000 Zagreb, Croatia
Abstract
We are interested in the regularity of positive, spherically symmetric solutions of a class of quasilinear elliptic equations involving the p-Laplace operator, with an arbitrary positive growth rate e0 on the gradient on the right-hand side. We study the regularity of a class of strong and weak solutions at the origin. Furthermore, we find some conditions under which strong solutions are classical.
Keywords
Quasilinear elliptic; positive strong solution; weak solution; regularity; classical solution
Hrčak ID:
130890
URI
Publication date:
18.12.2014.
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