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math.OC2007★ 4 cited
Regularity of solutions to higher-order integrals of the calculus of variations
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We obtain new regularity conditions for problems of calculus of variations with higher-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our ma…
math.OC2007★ 1 cited
Regularity of Solutions to Second-Order Integral Functionals in Variational Calculus
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We obtain regularity conditions of a new type of problems of the calculus of variations with second-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev pheno…