Morse theory by perturbation methods with applications to harmonic maps

Uhlenbeck, K.

doi:10.1090/S0002-9947-1981-0626490-X

Morse theory by perturbation methods with applications to harmonic maps
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Trans. Amer. Math. Soc. 267 (1981), 569-583 Request permission

Abstract:

There are many interesting variational problems for which the Palais-Smale condition cannot be verified. In cases where the Palais-Smale condition can be verified for an approximating integral, and the critical points converge, a Morse theory is valid. This theory applies to a class of variational problems consisting of the energy integral for harmonic maps with a lower order potential.

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