Asymptotic behaviour of solutions of nondivergence type semilinear elliptic equations in conical domains I

Abstract

We study a special class of solutions to semilinear elliptic equations in conical domains. We prove that under some initial assumption on the solution it is asymptotically close to a linear combination of special solutions of the corresponding homogeneous equation. We also give the existence result for solutions with asymptotics of this type.