Geodesic
Qualitative analysis of rupture solutions for a MEMS problem
Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 1, pp. 221-242
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We prove sharp Hölder continuity and an estimate of rupture sets for sequences of solutions of the following nonlinear problem with negative exponent

Δu=1upinΩ,p>1.
As a consequence, we prove the existence of rupture solutions with isolated ruptures in a bounded convex domain in R2.

DOI : 10.1016/j.anihpc.2014.09.009
Keywords: Semilinear elliptic equations with negative power, Hölder continuity, Monotonicity formula 
@article{AIHPC_2016__33_1_221_0,
     author = {D\'avila, Juan and Wang, Kelei and Wei, Juncheng},
     title = {Qualitative analysis of rupture solutions for a {MEMS} problem},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {221--242},
     year = {2016},
     publisher = {Elsevier},
     volume = {33},
     number = {1},
     doi = {10.1016/j.anihpc.2014.09.009},
     mrnumber = {3436432},
     zbl = {1350.35093},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2014.09.009/}
}
TY  - JOUR
AU  - Dávila, Juan
AU  - Wang, Kelei
AU  - Wei, Juncheng
TI  - Qualitative analysis of rupture solutions for a MEMS problem
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2016
SP  - 221
EP  - 242
VL  - 33
IS  - 1
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2014.09.009/
DO  - 10.1016/j.anihpc.2014.09.009
LA  - en
ID  - AIHPC_2016__33_1_221_0
ER  - 
%0 Journal Article
%A Dávila, Juan
%A Wang, Kelei
%A Wei, Juncheng
%T Qualitative analysis of rupture solutions for a MEMS problem
%J Annales de l'I.H.P. Analyse non linéaire
%D 2016
%P 221-242
%V 33
%N 1
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2014.09.009/
%R 10.1016/j.anihpc.2014.09.009
%G en
%F AIHPC_2016__33_1_221_0
Dávila, Juan; Wang, Kelei; Wei, Juncheng. Qualitative analysis of rupture solutions for a MEMS problem. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 1, pp. 221-242. doi: 10.1016/j.anihpc.2014.09.009

Cité par Sources :