About: Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth     Goto   Sponge   NotDistinct   Permalink

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  • 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. (en)
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 (en)
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 (en)
skos:notation
  • RIV/67985840:_____/14:00423454!RIV15-AV0-67985840
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  • 15703
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  • RIV/67985840:_____/14:00423454
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  • singular boundary value problem; epitaxial growth; radial solution (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [132AAB816D02]
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  • Mathematical Methods in the Applied Sciences
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  • 37
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  • Hakl, Robert
  • Torres, P. J.
  • Escudero, C.
  • Peral, I.
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  • 000333317600002
issn
  • 0170-4214
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/mma.2836
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