Zum Neumannschen Randwertproblem quasilinearer elliptischer Differentialgleichungen zweiter Ordnung in Gebieten mit Ecken

Abstract

Consider the Neumann problem for quasilinear elliptic equations of second order in two–dimensional domains with corners. The quasilinear differential operator is of divergence form. The corner angles αi satisfy 0 < αi < π. It is shown that there exists an asymptotic expansion of the solution near a corner.