On strongly indefinite functionals with applications
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- by Helmut Hofer
- Trans. Amer. Math. Soc. 275 (1983), 185-214
- DOI: https://doi.org/10.1090/S0002-9947-1983-0678344-2
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Abstract:
Recently, in their remarkable paper Critical point theory for indefinite functionals, V. Benci and P. Rabinowitz gave a direct approach—avoiding finite-dimensional approximations—to the existence theory for critical points of indefinite functionals. In this paper we develop under weaker hypotheses a simpler but more general theory for such problems. In the second part of the paper the abstract results are applied to a class of resonance problems of the Landesman and Lazer type, and moreover they are illustrated by an application to a wave equation problem.References
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Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 275 (1983), 185-214
- MSC: Primary 58E05; Secondary 35L70, 47H15
- DOI: https://doi.org/10.1090/S0002-9947-1983-0678344-2
- MathSciNet review: 678344