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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F14%3A00423454%21RIV15-AV0-67985840
rdf:type
skos:Concept n17:Vysledek
dcterms:description
The existence of stationary radial solutions to a partial differential equation arising in the theory of epitaxial growth is studied. It turns out that the existence or not of such solutions depends on the size of a parameter that plays the role of the velocity at which mass is introduced into the system. For small values of this parameter, we prove the existence of solutions to this boundary value problem. For large values of the same parameter, we prove the nonexistence of solutions. We also provide rigorous bounds for the values of this parameter, which separate existence from nonexistence. The proofs come as a combination of several differential inequalities and the method of upper and lower functions applied to an associated two-point boundary value problem. The existence of stationary radial solutions to a partial differential equation arising in the theory of epitaxial growth is studied. It turns out that the existence or not of such solutions depends on the size of a parameter that plays the role of the velocity at which mass is introduced into the system. For small values of this parameter, we prove the existence of solutions to this boundary value problem. For large values of the same parameter, we prove the nonexistence of solutions. We also provide rigorous bounds for the values of this parameter, which separate existence from nonexistence. The proofs come as a combination of several differential inequalities and the method of upper and lower functions applied to an associated two-point boundary value problem.
dcterms:title
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth
skos:prefLabel
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth
skos:notation
RIV/67985840:_____/14:00423454!RIV15-AV0-67985840
n3:aktivita
n13:I
n3:aktivity
I
n3:cisloPeriodika
6
n3:dodaniDat
n5:2015
n3:domaciTvurceVysledku
n15:8881642
n3:druhVysledku
n12:J
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n10:predkladatel
n3:idSjednocenehoVysledku
15703
n3:idVysledku
RIV/67985840:_____/14:00423454
n3:jazykVysledku
n16:eng
n3:klicovaSlova
singular boundary value problem; epitaxial growth; radial solution
n3:klicoveSlovo
n7:singular%20boundary%20value%20problem n7:radial%20solution n7:epitaxial%20growth
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[132AAB816D02]
n3:nazevZdroje
Mathematical Methods in the Applied Sciences
n3:obor
n4:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:rokUplatneniVysledku
n5:2014
n3:svazekPeriodika
37
n3:tvurceVysledku
Escudero, C. Hakl, Robert Peral, I. Torres, P. J.
n3:wos
000333317600002
s:issn
0170-4214
s:numberOfPages
15
n14:doi
10.1002/mma.2836