Glasnik Matematicki, Vol. 49, No. 2 (2014), 369-375.

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
e-mail: jkraljevic@efzg.hr


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.

2010 Mathematics Subject Classification.   35C15, 35J60, 45J05.

Key words and phrases.   Quasilinear elliptic, positive strong solution, weak solution, regularity, classical solution.


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DOI: 10.3336/gm.49.2.10


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