Geodesic
Renormalized solutions of elliptic equations with~variable exponents and general measure data
Sbornik. Mathematics, Tome 211 (2020) no. 12, pp. 1737-1776

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

A class of second-order elliptic equations with variable nonlinearity exponents and the right-hand side in the form of the general Radon measure with finite total variation is considered. The existence of a renormalized solution of the Dirichlet problem is proved as a consequence of stability with respect to the convergence of the right-hand side of the equation. Bibliography: 37 titles.
Keywords: quasilinear elliptic equation, renormalized solution, Radon measure, variable exponent, Dirichlet problem. 
@article{SM_2020_211_12_a2,
     author = {L. M. Kozhevnikova},
     title = {Renormalized solutions of elliptic equations with~variable exponents and general measure data},
     journal = {Sbornik. Mathematics},
     pages = {1737--1776},
     publisher = {mathdoc},
     volume = {211},
     number = {12},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2020_211_12_a2/}
}
TY  - JOUR
AU  - L. M. Kozhevnikova
TI  - Renormalized solutions of elliptic equations with~variable exponents and general measure data
JO  - Sbornik. Mathematics
PY  - 2020
SP  - 1737
EP  - 1776
VL  - 211
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2020_211_12_a2/
LA  - en
ID  - SM_2020_211_12_a2
ER  - 
%0 Journal Article
%A L. M. Kozhevnikova
%T Renormalized solutions of elliptic equations with~variable exponents and general measure data
%J Sbornik. Mathematics
%D 2020
%P 1737-1776
%V 211
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2020_211_12_a2/
%G en
%F SM_2020_211_12_a2
L. M. Kozhevnikova. Renormalized solutions of elliptic equations with~variable exponents and general measure data. Sbornik. Mathematics, Tome 211 (2020) no. 12, pp. 1737-1776. http://geodesic.mathdoc.fr/item/SM_2020_211_12_a2/