A characterization of sets of functions and distributions on described by constraints on the gradient.
A class of convex non-coercive functionals and masonry-like materials
A Class of Variational Problems with Linear Growth.
A Counterexample for Some Lower Semicontinuity Results.
A minimization problem associated with elliptic systems of Fitz–Hugh–Nagumo type
A Note on the Interpretation of Closed H-Surfaces in Physical Terms.
A paper of Legendre revisited.
A problem of minimization with relaxed energy
Abstract variational problems with volume constraints
Existence results for a class of one-dimensional abstract variational problems with volume constraints are established. The main assumptions on their energy are additivity, translation invariance and solvability of a transition problem. These general results yield existence results for nonconvex problems. A counterexample shows that a naive extension to higher dimensional situations in general fails.
Abstract variational problems with volume constraints
Existence results for a class of one-dimensional abstract variational problems with volume constraints are established. The main assumptions on their energy are additivity, translation invariance and solvability of a transition problem. These general results yield existence results for nonconvex problems. A counterexample shows that a naive extension to higher dimensional situations in general fails.
An example of non-convex minimization and an application to Newton's problem of the body of least resistance
An existence theorem for extended mildly nonlinear complementarity problem in semi-inner product spaces
We prove a result for the existence and uniqueness of the solution for a class of mildly nonlinear complementarity problem in a uniformly convex and strongly smooth Banach space equipped with a semi-inner product. We also get an extension of a nonlinear complementarity problem over an infinite dimensional space. Our last results deal with the existence of a solution of mildly nonlinear complementarity problem in a reflexive Banach space.
Anisotropic symmetrization
A-quasiconvexity : weak-star convergence and the gap
Big pieces of -graphs for minimizers of the Mumford-Shah functional
Biting theorems for jacobians and their applications
Boundary Regularity for Minima of Certain Quadratic Functionals.
-partial regularity of -harmonic maps at the free boundary
We prove the partial -regolarity up to the free boundary of the -harmonic maps which minimize the -energy .
C1,... partial regularity of functions minimising quasiconvex integrals.
Calculus of variations with differential forms
We study integrals of the form , where , is continuous and is a -form. We introduce the appropriate notions of convexity, namely ext. one convexity, ext. quasiconvexity and ext. polyconvexity. We study their relations, give several examples and counterexamples. We finally conclude with an application to a minimization problem.