The Saddle-Point Theorem

David G. Costa
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David G. Costa: University of Nevada, Las Vegas, Department of Mathematical Sciences

Chapter 5 in An Invitation to Variational Methods in Differential Equations, 2007, pp 39-47 from Springer

Abstract: Abstract In this chapter we present a second important illustration of the minimax method, the saddle-point theorem of Rabinowitz [64]. Since its proof uses the topological degree of Brouwer, we reserve this section for a brief presentation of this important topological tool and its main properties. The interested reader can see the details in [57].

Date: 2007
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DOI: 10.1007/978-0-8176-4536-6_5

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