Naslov
Solvability of quasilinear elliptic equations with strong dependence on the gradient

Autori
Žubrinić, Darko

Izvornik
Abstract and Applied Analysis (1085-3375) 5 (2000), 3; 159-174

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
elliptic equation; radially symmetric; strong dependence on the gradient

Sažetak
We study existence of positive, sphericallly symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its gradient. The elliptic problem is studied by relating it to the corresponding singular ordinary integro-differential equation. Solvability range is obtained in the form of simple inequalities involving the coefficients describing the problem. We also study a posteriori regulariy of solutions. An existence result is formulated for elliptic equations on arbitrary bounded domains in dependence of aouter radius of domain.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA