solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看191次
Existence of Strong Solutions to Degenerate or Singular Strongly Coupled Elliptic Systems. (arXiv:1705.05490v1 [math.AP])
来源于:arXiv
A general class of strongly coupled elliptic systems with quadratic growth in
gradients is considered and the existence of their strong solutions is
established. The results greatly improve those in a recent paper \cite{dleJFA}
as the systems can be either degenerate or singular when their solutions become
unbounded. A unified proof for both cases is presented. Most importantly, the
VMO assumption in \cite{dleJFA} will be replaced by a much versatile one thanks
to a new local weighted Gagliardo-Nirenberg involving BMO norms. Examples in
physical models will be provided. 查看全文>>