@misc{10481/71474,
year = {2021},
month = {8},
url = {http://hdl.handle.net/10481/71474},
abstract = {Let u denote a solution to a rotationally invariant Hessian equation F(D(2)u) = 0 on a bounded simply connected domain Omega subset of R-2, with constant Dirichlet and Neumann data on partial derivative Omega. We prove that if u is real analytic and not identically zero, then u is radial and Omega is a disk. The fully nonlinear operator F not equivalent to 0 is of general type and, in particular, not assumed to be elliptic. We also show that the result is sharp, in the sense that it is not true if Omega is not simply connected, or if u is C-infinity but not real-analytic.},
organization = {Spanish Government
European Commission	PID2020-118137GB-I00	
CEX2020-001105-M},
organization = {Junta de Andalucia	A-FQM-139-UGR18	
P18-FR-4049},
publisher = {Mathematical Sciences Publishers},
keywords = {Overdetermined problems},
keywords = {Fully nonlinear equations},
keywords = {Poincaré-Hopf index},
title = {Serrin's overdetermined problem for fully nonlinear nonelliptic equations},
doi = {10.2140/apde.2021.14.1429},
author = {Gálvez López, José Antonio and Mira, Pablo},
}