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

Article type: Research Article

Authors: Surnachev, Mikhail

Affiliations: Swansea University, Swansea SA2 8PP, Wales, UK. E-mail: [email protected]

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.

Keywords: asymptotic, cone, weighted spaces, Emden–Fowler, semilinear, absorption

DOI: 10.3233/ASY-2010-1021

Journal: Asymptotic Analysis, vol. 71, no. 4, pp. 227-243, 2011

Published: 2011
Price: EUR 27.50
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