Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

Nonlinear Analysis, Theory, Methods and Applications

Volumn 48, Issue 6, 2002, Pages 881-895

  Su, Jiabao ^a  

^a CAPITAL NORMAL UNIVERSITY   (China)

Author keywords

Critical group; Degenerate critical point; Double resonance; Local linking; Morse theory; Mountain pass lemma; Multiple solutions; Semilinear elliptic equation; Unique continuation property

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; SET THEORY;

SEMILINEAR ELLIPTIC EQUATIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0036466477     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00221-2     Document Type: Article

References (36)

1. Nontrivial solutions for a class of nonresonance problem and applications to nonlinear differential equations
2. Abstract critical point theorems and applications to nonlinear problems with "strong" resonance at infinity
3. On the Morse indices of sign solutions of nonlinear elliptic problems
4. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
5. 1 local minimizers
6. Remarks on finding critical points
7. 1 isolated critical points
8. A variant mountain pass lemma
9. Morse theory on Banach spaces with applications
10. Solutions of asymptotically linear operator via Morse theory
11. Remarks on multiple solutions for asymptotically linear elliptic boundary value problems
12. On a class of resonant problems at higher eigenvalues
13. On differential functions with isolated point
14. Nonlinear perturbations of linear eigenvalues problem at resonance
15. Multiple solutions of semilinear elliptic problems at resonance
16. Nontrivial solutions of operator equations and Morse indices of critical points of minimax type
17. Nontrivial critical point for asymptotically quadratic functions
18. Computations of critical groups at degenerate critical point and application to nonlinear differential equations with resonance
19. Multiple solutions for asymptotically linear boundary value problems in which the nonlinearity crosses at least one eigenvalue
20. Applications of local linking to critical point theory
21. A Morse index for a saddle point
22. Asymptotically linear elliptic equation without nonresonance conditions
23. Density condition at infinity and resonance in nonlinear elliptic partial differential equations
24. Nontrivial solutions of semilinear equations at resonance
25. Minimax methods in critical point theory with application to differential equations
26. Double resonance in semilinear elliptic boundary value problem over bounded and unbounded domains
27. A general approach to solvability conditions for semilinear elliptic boundary value problems at resonance
28. A semilinear elliptic boundary value problem at resonance where the nonlinearity may grow linearly
29. Elliptic resonance problems with inequal limits at infinity
30. Bounded resonance problem for semilinear elliptic equations
31. Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms
32. Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues
33. Mountain Pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems