@article{10_21136_CMJ_1996_127289,
author = {Bonafede, Salvatore},
title = {A weak maximum principle and estimates of ${\rm ess}\sup\sb \Omega u$ for nonlinear degenerate elliptic equations},
journal = {Czechoslovak Mathematical Journal},
pages = {259--269},
year = {1996},
volume = {46},
number = {2},
doi = {10.21136/CMJ.1996.127289},
mrnumber = {1388615},
zbl = {0870.35042},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127289/}
}
TY - JOUR
AU - Bonafede, Salvatore
TI - A weak maximum principle and estimates of ${\rm ess}\sup\sb \Omega u$ for nonlinear degenerate elliptic equations
JO - Czechoslovak Mathematical Journal
PY - 1996
SP - 259
EP - 269
VL - 46
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127289/
DO - 10.21136/CMJ.1996.127289
LA - en
ID - 10_21136_CMJ_1996_127289
ER -
%0 Journal Article
%A Bonafede, Salvatore
%T A weak maximum principle and estimates of ${\rm ess}\sup\sb \Omega u$ for nonlinear degenerate elliptic equations
%J Czechoslovak Mathematical Journal
%D 1996
%P 259-269
%V 46
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127289/
%R 10.21136/CMJ.1996.127289
%G en
%F 10_21136_CMJ_1996_127289
Bonafede, Salvatore. A weak maximum principle and estimates of ${\rm ess}\sup\sb \Omega u$ for nonlinear degenerate elliptic equations. Czechoslovak Mathematical Journal, Tome 46 (1996) no. 2, pp. 259-269. doi: 10.21136/CMJ.1996.127289
[1] R. Adams: Sobolev Spaces. Academic Press, 1975. | MR | Zbl
[2] S. Bonafede: On maximum principle for weak subsolutions of degenerate parabolic linear equations. Comm. Math. Univ. Carolinae 35 (1994), no. 3, 417–430. | MR | Zbl
[3] F. Cooper: A maximum principle for degenerate elliptic equations. J. London Math. Soc. 2 (1973), no. 6, 205–209. | DOI | MR | Zbl
[4] G. Fichera: On a unified theory of boundary value problems for elliptic-parabolic equations of second order, In: Boundary value problems in differential equations. University of Wisconsin Press. Madison (1960), 97–120. | MR
[5] D. Gilberg, N. Trudinger: Elliptic Partial Differential Equations of Second Order. Springer Verlag, 1983. | MR
[6] F. Guglielmino, F. Nicolosi: Sulle $W$-soluzioni dei problemi al contorno per operatori ellittici degeneri. Ricerche di Matematica Supp XXXVI (1987), 59–72. | MR
[7] O. A. Ladyzhenskaya, N. N. Ural’tseva: Linear and Quasilinear Elliptic Equations. Academic Press, New York, 1968. | MR
[8] M. K. V. Murthy, G. Stampacchia: Boundary value problems for some degenerate-elliptic operators. Annali di Matematica 4 (1968), no. 80, 1–122. | DOI | MR
[9] F. Nicolosi: Sottosoluzioni deboli delle equazioni paraboliche lineari del secondo ordine superiormente limitate. Le Matematiche 28 (1973), 361–378. | MR
[10] F. Nicolosi: Regolarizzazione delle soluzioni deboli dei problemi al contorno per operatori parabolici degeneri. Le Matematiche 33 (1978), 83–98. | Zbl
[11] F. Nicolosi: Soluzioni deboli dei problemi al contorno per operatori parabolici che possono degenerare. Annali di Matematica 4 (1980), no. 125, 135–155. | DOI | MR | Zbl
[12] G. Stampacchia: Le probleme de Dirichlet pour les equations elliptiques du second ordre, a coefficients discontinus. Annali Inst. Fourier 15 (1965), 189–257. | DOI | MR | Zbl
[13] J. Serrin: Local behavior of solution of quasilinear equations. Acta Mathematica 111 (1964), 247–302. | DOI | MR
Cité par Sources :