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