Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients
Bonafede, Salvatore
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 55-61 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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 $s$.

Publié le : 1993-01-01
Classification:  35J70,  35J85,  49J40 
@article{118555,
     author = {Salvatore Bonafede},
     title = {Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {55-61},
     zbl = {0823.35067},
     mrnumber = {1240203},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118555}
}

Bonafede, Salvatore. Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 55-61. http://gdmltest.u-ga.fr/item/118555/

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

Boccardo L.; Buttazzo G. Quasilinear elliptic equations with discontinuous coefficients, Atti Acc. Lincei Rend. fis. (8), vol. LXXXII (1988), 21-28. | MR 0999834

Ekeland I.; Tenam R. Analyse convexe et problèmes variationnels, Dunod, Gauthier-Villars, 1974. | MR 0463993

Guglielmino F.; Nicolosi F. Sulle $W$-soluzioni dei problemi al contorno per operatori ellittici degeneri, Ricerche di Matematica, suppl. vol. XXXVI (1987).

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.

Himmelberg C.J. Measurable relations, Fund. Math. 87 (1975), 53-72. (1975) | MR 0367142 | Zbl 0296.28003

Ladyzhenskaya O.A.; Ural'Tseva N.N. Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. | MR 0244627 | Zbl 0177.37404

Marina M.E. Una diseguaglianza variazionale associata a un operatore ellittico che puó degenerare, Rend. Acc. Naz. Lincei 55 (1973), 149-160. (1973) | MR 0463672

Murty M.K.V.; Stampacchia G. Boundary value problems for some degenerate elliptic operators, Ann. Mat. Pura Appl. 80 (1968), 1-122. (1968) | MR 0249828

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

Troianello G.M. Elliptic Differential Equations and Obstacle Problem, Plenum Press, 1987.