Existence of solutions for elliptic systems with critical Sobolev exponent

Electronic Journal of Differential Equations

Volumn 2002, Issue , 2002, Pages

  Amster, Pablo ^a   De Nápoli, Pablo ^a   Mariani, Maria Cristina ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

Critical sobolev exponent; Elliptic systems; Variational methods

Indexed keywords

EID: 33846060400     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. H. Brezis and L. Nirenberg, Positive Solutions of Nonlinear Elliptic Equations Involving Critical Sobolev Exponents, Communications on Pure and Applied Mathematics. Vol XXXVI , 437-477 (1983)
2. L. Boccardo and D. de Figueiredo, Some Remarks on a system of quasilinear elliptic equations, to appear.
3. H. Brezis and E. Lieb, A relation between point wise convergence of functions and convergence of functionals, Proc. A.M.S. vol. 48, No 3 (1993), pp. 486-499
4. P. Clément, E. Mitidieri and R., Manásevich, Positive solutions for a quasilinear system via blow up, Comm. in Part. Diff. Eq., Vol. 18, No. 12, (1993).
5. D. de Figueiredo, Semilinear Elliptic Systems, Notes of the course on semilinear elliptic systems of the EDP Chile-CIMPA Summer School (Universidad de la Frontera, Temuco, Chile, January 1999).
6. D. de Figueiredo, Semilinear Elliptic Systems: A survey of superlinear problems. Resenhas IME-USP 1996, vol. 2, No. 4, pp. 373-391.
7. D. Gilbarg, and N. S. Trudinger, Elliptic partial differential equations of second order, Springer- Verlag (1983).
8. F. R. Grantmacher, The Theory of matrices, Chelsea (1959).
9. P. L. Lions, The concentration compactness principle in the calculus of variations. The limit case. Rev. Mat. Iberoamericana (1985), pp. 145-201 and 45-121.
10. S. Pohozaev, Eigenfunctions of the equation Δu + λf(u) = 0. Nonlinearity Doklady Akad. Nauk SSRR 165, (1965), pp. 36-9.
11. P. Pucci and J. Serrin, A general variational identity, Indiana University Journal, Vol. 35, No. 3, (1986), 681-703.
12. M. Willem, Minimax Theorems, Birkhauser (1986)