Description of Entire Solutions of Eiconal Type Equations

Abstract

AbstractThe paper describes entire solutions to the eiconal type non-linear partial differential equations, which include the eiconal equations (X1(u))2+ (X2(u))2= 1 as special cases, whereX1=p1∂/∂z1+p2∂/∂z2,X2=p3∂/∂z1+p4∂/∂z2are linearly independent operators withpjbeing arbitrary polynomials inC2.