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5. Non-convex problems in calculus of variations
We will now discuss the case where the function f is not convex (in the scalar case n = 1) or not quasi-convex (in the vector case
). Non-convex problems are often encountered in questions related to phase transitions, and we'll give several examples motivated by applications to such problems. The rule, of course, is that :
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Non-convex problems in calculus of variations
References
References
In this dossier, we have followed our book very closely (especially in the first three paragraphs). Numerous books on the subject exist, and we particularly recommend the following (precise references to works not mentioned in this bibliography can be found at ).
For classic methods: Akhiezer , Bliss , Bolza...
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