Naslov
Singular dimension of solution set of some classes of elliptic equations

Autori
Žubrinić, Darko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
EQUADIFF 2007 / - Beč : Vienna University of Technology, 2007

Skup
EQUADIFF 2007

Mjesto i datum
Beč, Austrija, 05.08.2007. - 11.08.2007

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
elliptic equation; singular set; Hausdorff dimension; singular dimension

Sažetak
We show that a class of elliptic equations involving the Laplace operator on the left-hand side, with zero boundary data on a bounded open domain of R^N, such that the right-hand sides are in L^2, has singular dimension of solution set is equal to N-4. The singular dimension is defined as the supremum of Hausdorff dimension of singular sets of weak solutions generated by right-hand sides. A result is presented involving p-Laplace operators with right-hand sides in L^{;p'};: for p>2 the singular dimension of solution set is N-pp'.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA