A local saddle point theorem and an application to a nonlocal PDE
Document Type
Article
Department or Administrative Unit
Mathematics
Publication Date
4-26-2017
Abstract
We prove a local saddle point theorem that can be viewed as a generalization of the saddle point theorem of Rabinowitz. A difficulty to overcome is that there isn't any linking. We then apply the theorem to show the existence of solutions of a nonlocal partial differential equations.
Recommended Citation
Bisgard, J. (2017). A local saddle point theorem and an application to a nonlocal PDE. Calculus of Variations and Partial Differential Equations, 56(3), 1–12. https://doi.org/10.1007/s00526-017-1150-8
Journal
Calculus of Variations & Partial Differential Equations
Copyright
© Springer-Verlag Berlin Heidelberg 2017
COinS
Comments
This article was originally published in Calculus of Variations & Partial Differential Equations. The full-text article from the publisher can be found here.
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