This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partial Differential Equations (PDEs). The properties of the functional to minimize with respect to the given topology play an important role in the existence of minimizers of integral problems. We will introduce the important concepts of quasiconvexity and polyconvexity. Inspired by finite element methods from Numerical Analysis, we introduce a perturbed problem which has some surprising uniqueness properties.Ph.D
We consider almost minimizers of variational integrals whose integrands are quasiconvex. Under suita...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
In this note we solve a problem posed by J. M. Ball in [3] about the uniqueness of smooth equilibriu...
Abstract. The computational nonlinear PDEs involve minimisation problems with various striking chall...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps between...
Abstract. We consider the variational problem consisting of minimizing a polyconvex integrand for ma...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
Let Omega subset of R-n be a bounded domain with Lipschitz boundary, and assume that f : Omega x R-m...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
We consider almost minimizers of variational integrals whose integrands are quasiconvex. Under suita...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
In this note we solve a problem posed by J. M. Ball in [3] about the uniqueness of smooth equilibriu...
Abstract. The computational nonlinear PDEs involve minimisation problems with various striking chall...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potent...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps between...
Abstract. We consider the variational problem consisting of minimizing a polyconvex integrand for ma...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
Let Omega subset of R-n be a bounded domain with Lipschitz boundary, and assume that f : Omega x R-m...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
We consider almost minimizers of variational integrals whose integrands are quasiconvex. Under suita...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
In this note we solve a problem posed by J. M. Ball in [3] about the uniqueness of smooth equilibriu...