Bounded resonance problems for semilinear elliptic equations

Nonlinear Analysis

Volumn 24, Issue 10, 1995, Pages 1471-1482

  Schechter, Martin ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Nontrivial solutions; semilinear boundary value problems

Indexed keywords

EID: 0001410110     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00203-T     Document Type: Article

References (30)

1. Nonlinear perturbations of linear elliptic boundary value problems at resonance
2. Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
3. Nonlinear elliptic boundary value problems at strong resonance
4. Strong resonance problems for elliptic semilinear boundary value problems
5. Linking theorems and applications to semilinear elliptic problems at resonance
6. Applications of critical point theory to weakly nonlinear boundary value problems at resonance
7. Semilinear boundary value problems of the strong resonance type
8. Critical points over splitting subspaces
9. Splitting subspaces and saddle points
10. Elementary critical point theory and perturbations of elliptic boundary value problems at resonance
11. Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance
12. Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part
13. Characterizations of the ranges of some nonlinear operators and applications boundary value problems
14. Equations with bounded nonlinearities
15. Existence and multiplicity results for a class of nonlinear elliptic boundary value problems at resonance
16. Solvability of nonlinear problems at resonance
17. On the range of nonlinear operators with linear asymptotes which are not invertible
18. Boundary value problems with bounded nonlinearity and general null space of the linear part
19. Ranges of nonlinear asymptotically linear operators
20. On bounded nonlinear perturbations of an elliptic equation at resonance
21. On a theorem of Landesman and Lazer
22. Nonlinear perturbations of Linear elliptic and parabolic problems at resonance
23. Nonlinear second order elliptic partial differential equations at resonance
24. An application of generalized degree to a class of nonlinear problems
25. Minimax methods in critical point theory with applications to differential equations
26. A generalization of the saddle point method with applications
27. New saddle point theorems
28. A nonlinear elliptic boundary value problem
29. Landesman-Lazer resonance problems and saddle point methods
30. A sharp sufficient condition for solution of nonlinear elliptic boundary value problems at resonance