A counter-example in G-convergence of non-divergence elliptic operators
Luigi DโOnofrio, Luigi Greco ยท Proceedings of the Royal Society of Edinburgh Section A Mathematics ยท 2003
In a planar domain, to each function w โ W2,2 satisfying a suitable condition we associate a non-divergence elliptic differential operator ๐ such that ๐w = 0. For a given converging sequence {wk}, we study G-convergence of the corresponding sequence {๐k} of operators.