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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

Sažetak

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.

Ključne riječi

Quasilinear elliptic; positive strong solution; weak solution; regularity; classical solution

Hrčak ID:

130890

URI

https://hrcak.srce.hr/130890

Datum izdavanja:

18.12.2014.

Posjeta: 508 *