Existence of solutions for some fourth-order boundary value problems with parameters

Nonlinear Analysis, Theory, Methods and Applications

Volumn 69, Issue 4, 2008, Pages 1364-1375

  Yang, Yang ^a,b   Zhang, Jihui ^a  

^a NANJING NORMAL UNIVERSITY   (China)

^b JIANGNAN UNIVERSITY   (China)

Author keywords

Boundary value problem; Homological nontrivial critical point; Local linking; Morse theory

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS;

BOUNDARY VALUE PROBLEM (BVP); BOUNDARY VALUES; EXISTENCE OF SOLUTIONS; MULTIPLICITY RESULTS;

BOUNDARY VALUE PROBLEMS;

EID: 44649157662     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.06.035     Document Type: Article

References (8)

1. Liu X.L., and Li W.T. Existence and multiplicity of solutions for fourth order boundary value problems with parameters. J. Math. Anal. Appl. 327 (2007) 362-375
2. Li F.Y., Li Y.H., and Liang Z.P. Existence of solutions to nonlinear Hammerstein integral equations and applications. J. Math. Anal. Appl. 323 (2006) 209-227
3. Li F.Y., Liang Z.P., and Zhang Q. Existence and multiplicity of solutions of a kind of fourth-order boundary value problem. Nonlinear. Anal. 62 (2005) 803-816
4. Taylor A.E., and Lay D.C. Introduction to Functional Analysis. second edn (1980), Wiley, New York
5. Bartsch T., and Li S.J. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance. Nonlinear. Anal. 28 (1997) 419-441
6. Liu J.Q. The Morse index of a saddle point. Systems. Sci. Math. Sci. 2 (1989) 32-39
7. Liu J.Q., and Su J.B. Remarks on multiple nontrivial solutions for quasi-linear resonant problems. J. Math. Anal. Appl. 258 (2001) 209-222
8. Zhang J.H., and Li S.J. Multiple nontrivial solutions for some fourth order semilinear elliptic problems. Nonlinear Anal. 60 (2005) 221-230