On lower-semicontinuity of variational integrals
Nonexistence of solutions of nonconvex multidimensional variational problems.
A note on quasiconvexity and rank-one convexity for matrices.
Unexpected solutions of first and second order partial differential equations.
On Tartar's conjecture
On regularity of solutions of nonlinear parabolic systems
Convex integration with constraints and applications to phase transitions and partial differential equations
We study solutions of first order partial differential relations , where is a Lipschitz map and is a bounded set in matrices, and extend Gromov’s theory of convex integration in two ways. First, we allow for additional constraints on the minors of and second we replace Gromov’s −convex hull by the (functional) rank-one convex hull. The latter can be much larger than the former and this has important consequences for the existence of ‘wild’ solutions to elliptic systems. Our work was originally...
Harmonic maps on planar lattices
On weak solutions to a viscoelasticity model
Matematik Jindřich Nečas
Ninth international school on mathematical theory in fluid mechanics
In Memoriam Jindřich Nečas
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