Naslov
Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations

Autori
Naito, Yuki ; Pašić, Mervan ; Usami, Hiroyuki

Izvornik
Differential equations & applications (Zagreb) (1847-120X) 4 (2012), 1; 11-25

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

Ključne riječi
p-Laplacian equation; radially symmetric solutions; oscillations; surface area; rectifiability

Sažetak
We study a kind of geometric oscillatory and asymptotic behaviour near |x| = 1 of all radially symmetric solutions u = u(x) of the p-Laplace partial differential equation (P). Necessary and sufficient conditions on the coefficient f (|x|) are given such that u(x) oscillates near |x| = 1 and the surface area of graph Γ(u) ⊆ RN+1 of u(x) is finite-rectifiable oscillations, and infinite-nonrectifiable oscillations. The L1 - integrability and Lp -nonintegrability of |∇u| on Ω for p > 1 are also considered.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti

POVEZANOST RADA