We consider the variational problem consisting of minimizing a polyconvex integrand for maps between manifolds. We offer a simple and direct proof of the existence of a minimizing map. The proof is based on Young measures.ou
A nonlocal variational problem modelling phase transitions is studied in the framework of Young meas...
We characterize Young measures generated by gradients of bi-Lipschitz orientation-preservi...
AbstractNon-convex variational problems in many situations lack a classical solution. Still they can...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
Abstract. We consider the variational problem consisting of minimizing a polyconvex integrand for ma...
This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partia...
summary:The scalar nonconvex variational problems of the minimum-energy type on Sobolev spaces are s...
We prove the existence, uniqueness, and regularity of minimizers of a polyconvex functional in two a...
We prove the existence, uniqueness, and regularity of minimizers of a polyconvex functional in two a...
Many problems in science can be formulated in the language of optimization theory, in which case an ...
The goal of this note is to construct — via the notion of Young measure–minimizing sequences for pro...
Abstract: "Validity of the Young measure representation is useful in the study of microstructure of ...
We prove the existence of minimizers of non convex, autonomous, multiple integrals under mild assump...
We take under consideration Young measures – objects that can be interpreted as generalized solution...
A nonlocal variational problem modelling phase transitions is studied in the framework of Young meas...
We characterize Young measures generated by gradients of bi-Lipschitz orientation-preservi...
AbstractNon-convex variational problems in many situations lack a classical solution. Still they can...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
We consider the variational problem consisting of minimizing a polyconvex integrand for maps betwee...
Abstract. We consider the variational problem consisting of minimizing a polyconvex integrand for ma...
This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partia...
summary:The scalar nonconvex variational problems of the minimum-energy type on Sobolev spaces are s...
We prove the existence, uniqueness, and regularity of minimizers of a polyconvex functional in two a...
We prove the existence, uniqueness, and regularity of minimizers of a polyconvex functional in two a...
Many problems in science can be formulated in the language of optimization theory, in which case an ...
The goal of this note is to construct — via the notion of Young measure–minimizing sequences for pro...
Abstract: "Validity of the Young measure representation is useful in the study of microstructure of ...
We prove the existence of minimizers of non convex, autonomous, multiple integrals under mild assump...
We take under consideration Young measures – objects that can be interpreted as generalized solution...
A nonlocal variational problem modelling phase transitions is studied in the framework of Young meas...
We characterize Young measures generated by gradients of bi-Lipschitz orientation-preservi...
AbstractNon-convex variational problems in many situations lack a classical solution. Still they can...