| Title:
|
A weak maximum principle and estimates of ${\rm ess}\sup\sb \Omega u$ for nonlinear degenerate elliptic equations (English) |
| Author:
|
Bonafede, Salvatore |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
259-269 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B50 |
| MSC:
|
35J65 |
| MSC:
|
35J70 |
| idZBL:
|
Zbl 0870.35042 |
| idMR:
|
MR1388615 |
| DOI:
|
10.21136/CMJ.1996.127289 |
| . |
| Date available:
|
2009-09-24T09:56:23Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127289 |
| . |
| Reference:
|
[1] R. Adams: Sobolev Spaces.Academic Press, 1975. Zbl 0314.46030, MR 0450957 |
| Reference:
|
[2] S. Bonafede: On maximum principle for weak subsolutions of degenerate parabolic linear equations.Comm. Math. Univ. Carolinae 35 (1994), no. 3, 417–430. Zbl 0808.35065, MR 1307270 |
| Reference:
|
[3] F. Cooper: A maximum principle for degenerate elliptic equations.J. London Math. Soc. 2 (1973), no. 6, 205–209. Zbl 0257.35041, MR 0318671, 10.1112/jlms/s2-6.2.205 |
| Reference:
|
[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 0111931 |
| Reference:
|
[5] D. Gilberg, N. Trudinger: Elliptic Partial Differential Equations of Second Order.Springer Verlag, 1983. MR 0737190 |
| Reference:
|
[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 0956018 |
| Reference:
|
[7] O. A. Ladyzhenskaya, N. N. Ural’tseva: Linear and Quasilinear Elliptic Equations.Academic Press, New York, 1968. MR 0244627 |
| Reference:
|
[8] M. K. V. Murthy, G. Stampacchia: Boundary value problems for some degenerate-elliptic operators.Annali di Matematica 4 (1968), no. 80, 1–122. MR 0249828, 10.1007/BF02413623 |
| Reference:
|
[9] F. Nicolosi: Sottosoluzioni deboli delle equazioni paraboliche lineari del secondo ordine superiormente limitate.Le Matematiche 28 (1973), 361–378. MR 0364867 |
| Reference:
|
[10] F. Nicolosi: Regolarizzazione delle soluzioni deboli dei problemi al contorno per operatori parabolici degeneri.Le Matematiche 33 (1978), 83–98. Zbl 0454.35023 |
| Reference:
|
[11] F. Nicolosi: Soluzioni deboli dei problemi al contorno per operatori parabolici che possono degenerare.Annali di Matematica 4 (1980), no. 125, 135–155. Zbl 0452.35065, MR 1553443, 10.1007/BF01789410 |
| Reference:
|
[12] G. Stampacchia: Le probleme de Dirichlet pour les equations elliptiques du second ordre, a coefficients discontinus.Annali Inst. Fourier 15 (1965), 189–257. Zbl 0151.15401, MR 0192177, 10.5802/aif.204 |
| Reference:
|
[13] J. Serrin: Local behavior of solution of quasilinear equations.Acta Mathematica 111 (1964), 247–302. MR 0170096, 10.1007/BF02391014 |
| . |
