On elliptic equations in RN with critical exponents

Electronic Journal of Differential Equations

Volumn 1996, Issue , 1996, Pages 1-11

  Alves, C O ^a   Goncalves, J V ^b   Miyagaki, O H ^c  

^a FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

^b UNIVERSITY OF BRASILIA   (Brazil)

^c FEDERAL UNIVERSITY OF VIÇOSA   (Brazil)

Author keywords

Critical exponents; Elliptic equations; Unbounded domains; Variational methods

Indexed keywords

EID: 0002527302     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. A. Ambrosetti, H. Brézis & G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, Preprint.
2. N, Preprint.
3. E. S. Noussair, C. A. Swanson & Y. Jianfu, Positive finite energy solutions of critical semilinear elliptic problems, Canadian J. Math. 44(1992) 1014-1029.
4. J. G. Azorero & I. P. Alonzo, Multiplicity of solutions for elliptic problems with critical exponents with a nonsymmetric term, Trans. Amer. Math. Society 323(1991) 877-895.
5. G. Talenti, Best constant in Sobolev inequality, Ann. Math. 110 (1976) 353-372.
6. H. Brézis & L. Nirenberg, Some Variational problems with lack of compactness. Proc. Symp. Pure Math. (AMS) 45(1986) 165-201.
7. H. Egnell, Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents, Arch. Rat. Mech. Anal. 104(1988) 57-77.
8. I. Ekeland, On the variational principle. J. Math. Anal. App. 47(1974) 324-353.
9. M. Guedda & L. Veron, Quasilinear elliptic equations involving critical Sobolev exponents, Non. Anal. 12(1989) 879-902.
10. n with critical growth, CMS Technical Report, Univ. Wisconsin (1994).
11. T. Aubin, Problemes isoperimetriques et espaces de Sobolev, J. Diff. Geometry 11(1976) 573-598.
12. n, J. Funct. Anal. 88(1990) 90-117.
13. W. Omana & M. Willem, Homoclinic orbits for a class of Hamiltonian systems, Diff. Int. Equations 5(1992) 1115-1120.
14. Y. Jianfu & Z. Xiping, On the existence of nontrivial solution of a quasi-linear elliptic boundary value problem for unbounded domains, Acta Math. Sci. 7(1987) 341-359.