Variational problems in domains with cusp points

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

iterative methods for equilibrium problems, variational inequalities and fixed points

Variational Problems on Classes of Convex Domains

We prove the existence of minimizers for functionals defined over the class of convex domains contained inside a bounded set D of R and with prescribed volume. Some applications are given, in particular we prove that the eigenvalues of differential operators of second and fourth order with non-constant coefficients as well as integral functionals depending on the solution of an elliptic equatio...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

Higher Order Variational Problems on Two-dimensional Domains

where ∇w represents the tensor of all k order (weak) partial derivatives. Our main concern is the investigation of the smoothness properties of such local minimizers under suitable assumptions on the energy density f . For the first order case (i.e. k = 1) we have rather general results which can be found for example in the textbooks of Morrey [Mo], Ladyzhenskaya and Ural’tseva [LU], Gilbarg an...