Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms

Acta Mathematica Sinica

Volumn 14, Issue 3, 1998, Pages 411-418

  Jiabao, Su ^a,b  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b CAPITAL NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042877095     PISSN: 10009574     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02580445     Document Type: Article

References (15)

1. Landesman E M, Lazer A C. Nonlinear perturbations of linear eigenvalues problem at resonance. J Math Mech, 1970, 19: 609-623
2. Chang K C. Morse theory on Banach spaces with applications. Chinese Ann Math (B), 1983, 6: 381-399
3. Bartsch T, Li S J. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance. Nonl Anal T M A, 1997, 28(3): 419-441
4. Costa D G, Suva E A. On a class of resonant problems at higher eigenvalues. Diff Int Equ, 1995, 8: 663-671
5. Li S J, Liu J Q. Nontrivial critical point for asymptotically quadratic functions. J Math Anal Appl, 1992, 165: 333-345
6. Mizoguchi N. Asymptotically linear elliptic equation without nonresonance conditions conditions. J Diff Equ, 1994, 113: 150-165 .
7. Schechter N. Elliptic resonance problems with inequal limits at infinity. Math Ann, 1991, 300: 629-642
8. Schechter M. Bounded Resonance problem for semilinear elliptic equations. Nonl Anal T M A, 1995, 24(10): 1471-1482
9. Landesman E, Robinson S, Rumbos A. Multiple solutions of semilinear elliptic problems at resonance. Nonl Anal T M A, 1995, 24: 1049-1059
10. Li S J, Su J B. Existence of multiple solutions of two-point boundary value problem at resonance. Topo Meth Nonl Anal. 1997, 10: 123-135.
11. Chang K C. Infinite dimensional Morse theory and multiple solution problems. Boston: Birkhäuser, 1993
12. Mawhin J, Willem M. Critical point theory and Ilamiltonian systems. Berlin: Springer, 1989
13. Liu J Q. The Morse index of a saddle point. Syst Sei Math Sei, 1989, 2(1): 32-39
14. Gromoll D, Meyer W. On differential functions with isolated point. Topology, 1969, 8(4): 361-369
15. Chang K C, Li S J, Liu J Q. Remarks on multiple solutions for asymptotically linear elliptic boundary value problems. Topo Meth Nonl Anal, 1994, 3: 179-187