Title

A local saddle point theorem and an application to a nonlocal PDE

Authors

James Bisgard, Central Washington UniversityFollow

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.

Comments

This article was originally published in Calculus of Variations & Partial Differential Equations. The full-text article from the publisher can be found here.

Due to copyright restrictions, this article is not available for free download from ScholarWorks @ CWU.

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