Semilinear elliptic equations and fixed points

Proceedings of the American Mathematical Society

Volumn 133, Issue 3, 2005, Pages 745-749

  Barroso, Cleon S ^a  

^a FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

Fixed point theorem; Krasnoselskii; Semilinear elliptic equations

Indexed keywords

EID: 14644417075     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07718-4     Document Type: Article

References (10)

1. M. Struwe, Variational Methods, Springer, Berlin, 1990. MR1078018 (92b:49002)
2. Paul H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations. CBMS Regional Conference Series Math. 65, Amer. Math. Soc., Providence (1986). MR0845785 (87j: 58024)
3. M. Willem, Minimax Theorems, Birkhäuser, Basel, 1996. MR1400007 (97h:58037)
4. M.M. Vainberg, Variational methods for the study of non-linear operators. Holden-Day, San Francisco, CA (1964). MR0176364 (31:638)
5. W. Rudin, Functional Analysis, McGraw-Hill, 1973. MR0365062 (51:1315)
6. Cleon S. Barroso, Krasnoselskii's fixed point theorem for weakly continuous maps, Nonlinear Anal. 55 (2003) 25-31. MR2001629 (2004f:47084)
7. D. Gilbarg, N.S. Trundiger, Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1983. MR0737190 (86c:35035)
8. A. Bahri, Topological results on a certain class of functionals and applications, J. Funct. Anal. 41 (1981), 397-427. MR0619960 (84c:58017)
9. A. Bahri and H. Berestycki, A perturbation method in critical point theory and applications, Trans. Amer. Math. Soc. 267 (1981), 1-32. MR0621969 (82j:35059)
10. Jin, Zhiren, Multiple solutions for a class of semilinear elliptic equations, Proc. Amer. Math. Soc. 125 (1997), 3659-3667. MR1443158 (98h:35078)