Geodesic
On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 261 (2008), pp. 7-15

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

We study the $p$-Laplacian with variable exponent $p(x)$ bounded away from unity and infinity. We obtain a sufficient condition on $p(x)$ under which all solutions of the $p$-Laplace equation are continuous at a fixed point of a domain, and find an estimate for the modulus of continuity of solutions. 
@article{TM_2008_261_a0,
     author = {Yu. A. Alkhutov and O. V. Krasheninnikova},
     title = {On the {Continuity} of {Solutions} to {Elliptic} {Equations} with {Variable} {Order} of {Nonlinearity}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {7--15},
     publisher = {mathdoc},
     volume = {261},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2008_261_a0/}
}
TY  - JOUR
AU  - Yu. A. Alkhutov
AU  - O. V. Krasheninnikova
TI  - On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2008
SP  - 7
EP  - 15
VL  - 261
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2008_261_a0/
LA  - ru
ID  - TM_2008_261_a0
ER  - 
%0 Journal Article
%A Yu. A. Alkhutov
%A O. V. Krasheninnikova
%T On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2008
%P 7-15
%V 261
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2008_261_a0/
%G ru
%F TM_2008_261_a0
Yu. A. Alkhutov; O. V. Krasheninnikova. On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 261 (2008), pp. 7-15. http://geodesic.mathdoc.fr/item/TM_2008_261_a0/