| Title:
|
Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients (English) |
| Author:
|
Bonafede, Salvatore |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
55-61 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain an existence theorem for the problem (0.1) where the coefficients $a_{ij}(x,s)$ satisfy a degenerate ellipticity condition and hypotheses weaker than the continuity with respect to the variable $s$. (English) |
| Keyword:
|
degenerate elliptic variational inequalities |
| Keyword:
|
pseudomonotone operators |
| MSC:
|
35J70 |
| MSC:
|
35J85 |
| MSC:
|
49J40 |
| idZBL:
|
Zbl 0823.35067 |
| idMR:
|
MR1240203 |
| . |
| Date available:
|
2009-01-08T18:01:03Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118555 |
| . |
| Reference:
|
[1] Ambrosio L.: New Lower Semicontinuity Results for Integral Functional.Rendiconti Accademia Naz. delle Scienze detta dei XL-Memorie di Matematica 105$^\bold o$ (1987), vol. XI., fasc. 1, 1-42. MR 0930856 |
| Reference:
|
[2] Boccardo L., Buttazzo G.: Quasilinear elliptic equations with discontinuous coefficients.Atti Acc. Lincei Rend. fis. (8), vol. LXXXII (1988), 21-28. MR 0999834 |
| Reference:
|
[3] Ekeland I., Tenam R.: Analyse convexe et problèmes variationnels.Dunod, Gauthier-Villars, 1974. MR 0463993 |
| Reference:
|
[4] Guglielmino F., Nicolosi F.: Sulle $W$-soluzioni dei problemi al contorno per operatori ellittici degeneri.Ricerche di Matematica, suppl. vol. XXXVI (1987). |
| Reference:
|
[5] Guglielmino F., Nicolosi F.: Teoremi di esistenza per i problemi al contorno relativi alle equazioni ellittiche quasilineari.Ricerche di Matematica 37 (1988), fasc. 1, 157-176. |
| Reference:
|
[6] Himmelberg C.J.: Measurable relations.Fund. Math. 87 (1975), 53-72. Zbl 0296.28003, MR 0367142 |
| Reference:
|
[7] Ladyzhenskaya O.A., Ural'tseva N.N.: Linear and Quasilinear Elliptic Equations.Academic Press, New York, 1968. Zbl 0177.37404, MR 0244627 |
| Reference:
|
[8] Marina M.E.: Una diseguaglianza variazionale associata a un operatore ellittico che puó degenerare.Rend. Acc. Naz. Lincei 55 (1973), 149-160. MR 0463672 |
| Reference:
|
[9] Murty M.K.V., Stampacchia G.: Boundary value problems for some degenerate elliptic operators.Ann. Mat. Pura Appl. 80 (1968), 1-122. MR 0249828 |
| Reference:
|
[10] Ricceri B.: A remark on quasilinear elliptic variational inequalities with discontinuous coefficients.Rend. Mat. Acc. Lincei s. 9, vol. 1 (1990), 17-19. MR 1081821 |
| Reference:
|
[11] Troianello G.M.: Elliptic Differential Equations and Obstacle Problem.Plenum Press, 1987. |
| . |
