On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains
Tarba, L. ; Stará, Jana
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 723-729 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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

Publié le : 1991-01-01
Classification:  35B40,  35J20,  35J35,  35J50,  35J60,  35J65,  46G05,  49N60 
@article{118452,
     author = {L. Tarba and Jana Star\'a},
     title = {On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {723-729},
     zbl = {0752.35019},
     mrnumber = {1159819},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118452}
}

Tarba, L.; Stará, Jana. On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 723-729. http://gdmltest.u-ga.fr/item/118452/

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) | MR 0093706

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) | MR 0668743

Tarba L.A. On behaviour of the solutions to the elliptic equations in unbounded domains (in Russian), VINITI (1980), 2573. (1980)

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)

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)

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) | MR 0941211

Kantorovich L.V.; Akilov C.P. Functional Analysis (in Russian), Nauka, Moskva, 1977, second edition. | MR 0511615