Higher Order Variational Problems
and Phase transitions in Nonlinear Elasticity



Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
email: fonseca@andrew.cmu.edu



Giovanni Leoni
Dipartimento di Scienze e Tecnologia Avanzate
Universita del Piemonte Orientale
Corso borsalino 54
Alessandria 15100
Alessandria, Italy



Abstract. Higher order variational problems ask for new techniques which do not reduce to mere generalizations of their counterparts for first order problems. These challenges will be illustrated within the context of phase transitions for nonlinear elastic materials, and of higher order lower semicontinuity results recently obtained.



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