A priori regularity for weak solutions of some nonlinear elliptic equations
Annales de l'I.H.P. Analyse non linéaire, Volume 11 (1994) no. 6, p. 693-703
@article{AIHPC_1994__11_6_693_0,
author = {Pacard, Frank},
title = {A priori regularity for weak solutions of some nonlinear elliptic equations},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Gauthier-Villars},
volume = {11},
number = {6},
year = {1994},
pages = {693-703},
zbl = {0837.35027},
mrnumber = {1310628},
language = {en},
url = {http://www.numdam.org/item/AIHPC_1994__11_6_693_0}
}

Pacard, Frank. A priori regularity for weak solutions of some nonlinear elliptic equations. Annales de l'I.H.P. Analyse non linéaire, Volume 11 (1994) no. 6, pp. 693-703. http://www.numdam.org/item/AIHPC_1994__11_6_693_0/

[1] P. Aviles, On Isolated Singularities in Some Nonlinear Partial Differential Equations, Indiana Univ. Math. Journal, Vol. 35, 1983, pp. 773-791. | MR 711867 | Zbl 0548.35042

[2] P. Benilan, H. Brezis and M.G. Crandall, A Semilinear Equation in L1 (Rn), Ann. Scuola Norm. Sup. Pisa., Serie 4, Vol. 2, 1975, pp. 523-555. | Numdam | MR 390473 | Zbl 0314.35077

[3] M. Giaquinta, Multiple Integrals in the Calculus of Variations and Nonlinear Analysis, Annals of Mathematical Studies, Vol. 105, Princeton Univ. Press, 1989. | Zbl 0516.49003

[4] F. Pacard, Existence and Convergence of Positive Weak Solutions of -Δu = un/n-2 in Bounded Domains of Rn, n ≥ 3, Jour. Calc. Variat., Vol. 1, 1993, pp. 243-265. | MR 1261546 | Zbl 0822.35051

[5] F. Pacard, Convergence and Partial Regularity for Weak Solutions of Some Nonlinear Elliptic Equation: the Supercritical Case, Preprint.

[6] G. Stampacchia, Some Limit Case of Lp Estimates for Solution of Second Order Elliptic Equations, Comm. Pure Applied Math., Vol. XVI, 1963, pp. 505-510. | MR 152735 | Zbl 0147.09202