Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations

• Autores: Francesca Da Lio, Boyan Sirakov
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 2, 2007, págs. 317-330
• Idioma: inglés
• DOI: 10.4171/jems/81
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• Resumen

  • We study uniformly elliptic fully nonlinear equations $$ F(D^2u, Du, u, x)=0, $$ and prove results of Gidas--Ni--Nirenberg type for positive viscosity solutions of such equations. We show that symmetries of the equation and the domain are reflected by the solution, both in bounded and unbounded domains.