$A$-Solutions with singularities as almost solutions
Sbornik. Mathematics, Tome 197 (2006) no. 11, pp. 1587-1605

Voir la notice de l'article provenant de la source Math-Net.Ru

Almost solutions of quasilinear partial differential equations of the elliptic type are introduced. The class of equations under consideration contains, in particular, the equations of $p$-harmonic functions, the gas dynamic equation, and some other equations. Conditions ensuring that singular solutions to equations are almost solutions are indicated. Applications to the problem of removable singularities of solutions of elliptic equations and quasiregular maps are presented. The proofs are based on connections with differential forms. Bibliography: 32 titles.
@article{SM_2006_197_11_a2,
     author = {V. M. Miklyukov},
     title = {$A${-Solutions} with singularities as almost solutions},
     journal = {Sbornik. Mathematics},
     pages = {1587--1605},
     publisher = {mathdoc},
     volume = {197},
     number = {11},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2006_197_11_a2/}
}
TY  - JOUR
AU  - V. M. Miklyukov
TI  - $A$-Solutions with singularities as almost solutions
JO  - Sbornik. Mathematics
PY  - 2006
SP  - 1587
EP  - 1605
VL  - 197
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2006_197_11_a2/
LA  - en
ID  - SM_2006_197_11_a2
ER  - 
%0 Journal Article
%A V. M. Miklyukov
%T $A$-Solutions with singularities as almost solutions
%J Sbornik. Mathematics
%D 2006
%P 1587-1605
%V 197
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2006_197_11_a2/
%G en
%F SM_2006_197_11_a2
V. M. Miklyukov. $A$-Solutions with singularities as almost solutions. Sbornik. Mathematics, Tome 197 (2006) no. 11, pp. 1587-1605. http://geodesic.mathdoc.fr/item/SM_2006_197_11_a2/