Symmetry for elliptic equations in a half-space without strong maximum principle

By Yihong Du, Zongming Guo. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004

68 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Monotonicity and one-dimensional symmetry for solutions of −Δpu = f(u) in half-spaces (2011, background): “8, and obtained under stronger assumptions on the nonlinearity f , can be found in [15].”
Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations (2003, methodology): “In recent years, and stimulated by a series of beautiful papers of Berestycki, Caffarelli and Nirenberg ([1]-[8]), the method has been widely used and has become a powerful and user-friendly tool in the study of nonlinear partial differential equations.”