Geodesic
Regularity and a priori estimates of solutions to semilinear elliptic systems
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2 
I. Kosírová. Regularity and a priori estimates of solutions to semilinear elliptic systems. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a8/
@article{AMUC_2010_79_2_a8,
     author = {I. Kos{\'\i}rov\'a},
     title = {Regularity and a priori estimates of solutions to semilinear elliptic systems},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a8/}
}
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Voir la notice de l'article provenant de la source Comenius University

We improve recent results of Li [11] on L ¥ -regularity and a priori estimates for non-negative very weak solutions of elliptic systems in bounded domains. The proof is based on an alternate-bootstrap procedure in the scale of weighted Lebesgue spaces.