On the validity of the Euler-Lagrange system without growth assumptions

Lukas Koch, Jan Kristensen

The constrained minimisers of convex integral functionals of the form $\mathcal{F}(v)={\int }_{\Omega }F({\nabla }^{k}v(x))\mathrm{d}x$ defined on Sobolev mappings $v\in \mathrm W^{k,1}_g(Ω, \mat…