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.
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