Pregled bibliografske jedinice broj: 98018
Minkowski-Bouligand dimension of solutions of the one-dimensional p-Laplacian
Minkowski-Bouligand dimension of solutions of the one-dimensional p-Laplacian // Journal of Differential Equations, 190 (2003), 1; 268-305 (međunarodna recenzija, članak, znanstveni)
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Naslov
Minkowski-Bouligand dimension of solutions of the one-dimensional p-Laplacian
Autori
Pašić, Mervan
Izvornik
Journal of Differential Equations (0022-0396) 190
(2003), 1;
268-305
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Quasilinear equations; Nonlinear p-Laplacian; Qualitative properties; Graph; Fractal dimension; Order of growth of singularity; Change of dimension
Sažetak
The upper Minkowski–Bouligand dimension of the graph of continuous solutions, denoted by dimMy, is studied for a class of nonlinear one-dimensional p-Laplacian. Some sufficient conditions on the nonlinearities are given such that dimMy takes the prescribed fractional values. Next, a relation between dimMy and the order of growth for singular behaviour of Lp norm of derivatives of solutions is given. Finally, the change and stability of dimMy are considered by means of a double-parametric problem.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0036031
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mervan Pašić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- 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
