Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00423454" target="_blank" >RIV/67985840:_____/14:00423454 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mma.2836" target="_blank" >http://dx.doi.org/10.1002/mma.2836</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.2836" target="_blank" >10.1002/mma.2836</a>

Result language
angličtina
Original language name
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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