On derivation of Euler-Lagrange Equations for incompressible energy-minimizers

Nirmalendu Chaudhuri, Aram L. Karakhanyan

We prove that any distribution $q$ satisfying the equation $\nabla q=÷\mathbf{f}$ for some tensor $\mathbf{f}=(f_j^i),f_j^i\in h^r(U)$ ($1\le r<\infty$) -the {\it local Hardy space}, $…