Pregled bibliografske jedinice broj: 570985
High concentration of the graph of weak solution of a class of nonlinear variational inequalities
High concentration of the graph of weak solution of a class of nonlinear variational inequalities // Fifth Conference on Applied Mathematics and Scientific Computing
Brijuni, Hrvatska, 2007. (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
High concentration of the graph of weak solution of a class of nonlinear variational inequalities
Autori
Korkut, Luka ; Mervan, Pašić
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Fifth Conference on Applied Mathematics and Scientific Computing
Mjesto i datum
Brijuni, Hrvatska, 09.07.2007. - 13.07.2007
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
weak solution ; nonlinear variational inequalities
Sažetak
Weak continuous bounded solutions of a class of nonlinear variational inequalities associated to one-dimensional p-Laplacian are studied. It is shown that a kind of boundary behaviour of nonlinearity in the main problem produces a kind of high boundary concentration of the graph of solutions.It is verified by calculating lower bounds for the upper Minkowski-Bouligand dimension and Minkowski content of the graph of each solution and its derivative. Finally, the order of the growth for singular behaviour of the Lp norm of derivative of solutions is given.
Izvorni jezik
Engleski
POVEZANOST RADA
Projekti:
361291
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Luka Korkut
(autor)