On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains

L. Tarba; Jana Stará

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 4, page 723-729
  • ISSN: 0010-2628

Abstract

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The asymptotic behaviour is studied for minima of regular variational problems with Neumann boundary conditions on noncompact part of boundary.

How to cite

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Tarba, L., and Stará, Jana. "On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains." Commentationes Mathematicae Universitatis Carolinae 32.4 (1991): 723-729. <http://eudml.org/doc/247309>.

@article{Tarba1991,
abstract = {The asymptotic behaviour is studied for minima of regular variational problems with Neumann boundary conditions on noncompact part of boundary.},
author = {Tarba, L., Stará, Jana},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {variational problem; Neumann boundary value problem; unbounded domains; asymptotic behaviour of solutions; asymptotic behavior of minima},
language = {eng},
number = {4},
pages = {723-729},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains},
url = {http://eudml.org/doc/247309},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Tarba, L.
AU - Stará, Jana
TI - On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 4
SP - 723
EP - 729
AB - The asymptotic behaviour is studied for minima of regular variational problems with Neumann boundary conditions on noncompact part of boundary.
LA - eng
KW - variational problem; Neumann boundary value problem; unbounded domains; asymptotic behaviour of solutions; asymptotic behavior of minima
UR - http://eudml.org/doc/247309
ER -

References

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  1. Lax P.D., Phragmen-Lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations, Comm. Pure Appl. Math. 10 (1957), 361-389. (1957) MR0093706
  2. Oleĭnik O.A., Josif'jan G.A., The Saint Venant principle for a mixed problem of elasticity theory and its applications, Dokl. Akad. Nauk USSR (5) 233 (1977), 824-827. (1977) MR0668743
  3. Tarba L.A., On behaviour of the solutions to the elliptic equations in unbounded domains (in Russian), VINITI (1980), 2573. (1980) 
  4. Grishina T.V., On the regularity and the behaviour of solutions to the nonlinear elliptic Dirichlet boundary value problem in the neighbourhood of the singular point of the boundary (in Russian), Vestnik Mosk. Un. ser. 1, Matematika, Mechanika (1986), 4 84-87. (1986) 
  5. Kondratiev V.A., Landis V.M., Qualitative theory of linear partial differential equations of second order (in Russian), VINITI, Itogi nauki i techn., Sovr. probl. mat., Fund. napravlenije 32 (1988), 99-215. (1988) 
  6. Sitnik S.M., Rate of decay of the solutions of some elliptic and ultraelliptic equations (in Russian), Differentsial'nye Uravneniya (3) 24 (1988), 538-539. (1988) MR0941211
  7. Kantorovich L.V., Akilov C.P., Functional Analysis (in Russian), Nauka, Moskva, 1977, second edition. MR0511615

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