Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
β Scribed by Thomas Bartsch; Shujie Li
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 1022 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In the present paper, a new critical point theorem for locally Lipschitz functions is given, and as applications, one existence and two multiplicity results for zero boundary value problems are obtained. Several important classical theorems are improved.
In this paper, using well-known variational methods, we prove a general abstract theorem on the existence of a critical point for resonant problems with unbounded nonlinearities and then apply it to ordinary and partial differential equations with generalized Ahmad-Lazer-Paul conditions. The abstrac