Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: weak subsolution; degenerate equation; critical point; fixed-point theorems
Bonafede, Salvatore. Existence results for a class of semilinear degenerate elliptic equations. Mathematica Bohemica, Tome 128 (2003) no. 2, pp. 187-198. doi: 10.21136/MB.2003.134032
@article{10_21136_MB_2003_134032,
author = {Bonafede, Salvatore},
title = {Existence results for a class of semilinear degenerate elliptic equations},
journal = {Mathematica Bohemica},
pages = {187--198},
year = {2003},
volume = {128},
number = {2},
doi = {10.21136/MB.2003.134032},
mrnumber = {1995572},
zbl = {1075.35501},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134032/}
}
TY - JOUR AU - Bonafede, Salvatore TI - Existence results for a class of semilinear degenerate elliptic equations JO - Mathematica Bohemica PY - 2003 SP - 187 EP - 198 VL - 128 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134032/ DO - 10.21136/MB.2003.134032 LA - en ID - 10_21136_MB_2003_134032 ER -
[1] Adams, R. A.: Sobolev Spaces. Academic Press, New York, 1975. | MR | Zbl
[2] Ambrosetti, A.: Critical points and nonlinear variational problems. Mem. Soc. Math. France 49 (1992). | MR | Zbl
[3] Bonafede, S.: Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients. Comment. Math. Univ. Carolin. 34 (1993), 55–61. | MR | Zbl
[4] Bonafede, S.: A weak maximum principle and estimates of $\text{ess}\,\text{sup}_{\Omega } u$ for nonlinear degenerate elliptic equations. Czechoslovak Math. J. 121 (1996), 259–269. | MR
[5] Drábek, P., Kufner, A., Nicolosi, F.: Quasilinear Elliptic Equations with Degenerations and Singularities De Gruyter Series in Nonlinear Analysis and Applications, New York, 1997. | MR
[6] Guglielmino, F., Nicolosi, F.: $W$-solutions of boundary value problems for degenerate elliptic operators. Ricerche di Matematica Suppl. 36 (1987), 59–72. | MR
[7] Guglielmino, F., Nicolosi, F.: Existence theorems for boundary value problems associated with quasilinear elliptic equations. Ricerche di Matematica 37 (1988), 157–176. | MR
[8] Ivanov, A. V., Mkrtycjan, P. Z.: On the solvability of the first boundary value problem for certain classes of degenerating quasilinear elliptic equations of second order. Boundary value problems of mathematical physics, O. A. Ladyzenskaja (ed.), Vol. 10, Proceedings of the Steklov Institute of Mathematics, A.M.S. Providence (1981, issue 2), pp. 11–35.
[9] Ladyzenskaja, O. A., Ural’tseva, N. N.: Linear and Quasilinear Elliptic Equations. Academic Press, New York, 1968. | MR
[10] Murthy, M. K. V., Stampacchia, G.: Boundary value problems for some degenerate-elliptic operators. Ann. Mat. Pura Appl. 80 (1968), 1–122. | DOI | MR
[11] Stampacchia, G.: Le probleme de Dirichlet pour les equations elliptiques du second ordre a coefficients discontinus. Annal. Inst. Fourier 15 (1965), 187–257. | MR | Zbl
[12] Troisi, M.: Teoremi di inclusione per spazi di Sobolev non isotropi. Ricerche Mat. 18 (1989), 3–24. | MR
Cité par Sources :