| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4591376 | Journal of Functional Analysis | 2010 | 15 Pages |
Abstract
The existence theorems of critical points due to M. Schechter [M. Schechter, The saddle point alternative, Amer. J. Math. 117 (1995) 1603–1626] are developed to the case of sign-changing critical points. A new relationship between the linking without value-splitting property and the sign-changing (weak) Palais–Smale sequence is established. The new abstract theorems are applied to find nodal solutions to elliptic equations under rather weak hypotheses.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
