Glasnik Matematicki, Vol. 49, No. 2 (2014), 369375.
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
email: jkraljevic@efzg.hr
Abstract.
We are interested in the
regularity of positive, spherically symmetric solutions
of a class of quasilinear
elliptic equations involving the pLaplace operator, with an arbitrary positive
growth rate e_{0} on the gradient on the righthand 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.
Full text (PDF) (access from subscribing institutions only)
DOI: 10.3336/gm.49.2.10
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