By virtue of a weak comparison principle in small domains we prove axial symmetry in convex and symmetric smooth bounded domains as well as radial symmetry in balls for regular solutions of a class of quasi-linear elliptic systems in non-variational form. Moreover, in the two dimensional case, we study the system when set in a half-space.
Montoro, L., Sciunzi, B., Squassina, M., Symmetry results for nonvariational quasilinear elliptic systems, <<ADVANCED NONLINEAR STUDIES>>, 2010; 10 (4): 939-955. [doi:10.1515/ans-2010-0411] [http://hdl.handle.net/10807/90743]
Symmetry results for nonvariational quasilinear elliptic systems
Squassina, MarcoUltimo
2010
Abstract
By virtue of a weak comparison principle in small domains we prove axial symmetry in convex and symmetric smooth bounded domains as well as radial symmetry in balls for regular solutions of a class of quasi-linear elliptic systems in non-variational form. Moreover, in the two dimensional case, we study the system when set in a half-space.
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