Pregled bibliografske jedinice broj: 319133
On a class of nonlinear variational inequalities: High concentration of the graph of weak solution via its fractional dimension and Minkowski content
On a class of nonlinear variational inequalities: High concentration of the graph of weak solution via its fractional dimension and Minkowski content // Electronic journal of differential equations, 2007 (2007), 37; 1-21 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 319133 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On a class of nonlinear variational inequalities: High concentration of the graph of weak solution via its fractional dimension and Minkowski content
Autori
Korkut, Luka ; Pašić, Mervan
Izvornik
Electronic journal of differential equations (1072-6691) 2007
(2007), 37;
1-21
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
double obstacles ; nonlinear p-Laplacian ; graph
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 growth for singular behaviour of the $L^{; ; ; ; ; p}; ; ; ; ; $ norm of derivative of solutions is given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZO-ZP-036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)
MZO-ZP-036-0361621-3012 - Napredne strategije upravljanja i estimacije u složenim sustavima (Perić, Nedjeljko, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentral blat fur Mathematik
