Radially symmetric solutions for a class of critical exponent elliptic problems in ℝN

Electronic Journal of Differential Equations

Volumn 1996, Issue , 1996, Pages 1-12

  Alves, Claudianor O ^a   De Morais Filho, Daniel C ^a   Souto, Marco Aurelio S ^a  

^a FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

Critical Sobolev exponents; Mountain Pass Theorem; Palais Smale condition; Radial solutions

Indexed keywords

EID: 0002277337     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. N involving critical Sobolev exponent, Preprint (1996).
2. N involving critical exponents, Preprint (1996).
3. J. G. Azorero - I. P. Alonzo, Existence and nonuniqueness for p-Laplacian: nonlinear eigenvalues, Comm. in Partial Differential Equations 12(12), 1389-1430 (1987).
4. J. G. Azorero - I. P. Alonzo, Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term, Transactions of the AMS, Vol. 323, No. 2, Feb (1991), 877-895.
5. N, J. Funct. Anal. 88 (1990) 90-117.
6. N, Journal D'Analyse Mathématique, vol. 38 (1980), 144-187.
7. H. Brèzis - E. Lieb, A relation between pointwise convergence of functions and convergence functional, Proc. Amer. Math. Soc. 88 (1983), 486-490.
8. H. Brèzis - L. Nirenberg, Some variational problems with lack of compactness, Proc. Symp. Pure Math. (AMS) 45 1986 165-201.
9. H. Brèzis - L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent, Comm. Pure and Appl. Math. 36 (1983) 437-477.
10. N with critical growth, Preprint.
11. H. Egnell, Semilinear elliptic equations involving critical sobolev exponents, Arch. Rat. Mech. Anal. 104 (1988) 27-56.
12. H. Egnell, Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents, Arch. Rat. Mech. Anal. 104 (1988) 57-77.
13. H. Egnell, Elliptic boundary value problems with singular coefficients and critical nonlinearities, Indiana Univ. Math. Journal, Vol. 38, No. 2 (1989), 235-251.
14. N involving subcritical exponents, Preprint (1995) (To appear in Nonlinear Analysis - TMA).
15. Y. Jianfu, Nontrivial solution of quasilinear elliptic equations involving critical Sobolev exponent, Scientia Sinica (Series A), Vol. XXXI, No. 10, (1987) 341-359.
16. Y. Jianfu - Z. Xiping, On the existence of nontrivial solution of a quasilinear elliptic boundary value problem for unbounded domains, Acta Math. Sci. 7(3) (1987)
17. Kavian O., Introducion à théorie des points critiques et applications aux problèmes elliptiques, Universitè de Nancy, 1993.
18. N with critical growth, CMS Technical Report # 94-12, Univ. Winscosin (1994).
19. J. Mawhin - M. Willem, Critical point theory and Hamiltonian systems. Springer Verlag, Berlin 1989.
20. P. H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, Regional Conference Series in Mathematics, n. 65, AMS (1986).
21. P. H. Rabinowitz, On a Class of nonlinear Schrödinger equations, Z. Angew Math. Physics 43(1992).
22. N, Comm. Pure and Applied Mathematics, vol. XLV, 1217-1269 (1992).
23. G. Talenti, Best constant in Sobolev inequality, Ann. Math. 110 (1976) 353-372.