Published Paper

Inserted: 11 mar 2009
Last Updated: 16 jul 2010

Journal: Nonlinear Analysis Series A: Theory, Methods & Applications
Volume: 73
Pages: 695-703
Year: 2010

Abstract:

In $R^m\times R^{n-m}$, endowed with coordinates $X=(x,y)$, we consider the PDE $$ -{\rm div}\, \big( a\big(x,
\nabla u
(X)\big)\nabla u(X)\big)=f(x,u(X)),$$ for which we prove a symmetry result.

Keywords: rigidity and symmetry results, possibly degenerate and singular elliptic PDEs, geometric analysis

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