A local saddle point theorem and an application to a nonlocal PDE
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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.
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
Calculus of Variations & Partial Differential Equations
© Springer-Verlag Berlin Heidelberg 2017
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