Publication Cover
Applicable Analysis
An International Journal
Volume 12, 1981 - Issue 2
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Original Articles

On non-existence of l2 solutions of second order elliptic differential equations

Pages 125-137 | Received 24 May 1978, Published online: 10 May 2007
 

Abstract

In this paper a class of second order elliptic differential equations in exterior domains is considered and the asymptoic behavior of the solutions at infinitly is studied. The main interest,however,is in establishing non-existence of non-trival L2 solutions for schrödinger type equations. The proof utilities an integro-differential inequality and a variant of multipliers method.

AMS(MOS):

This research was supported in part by Iranian National Research Council grant while the author was on sabbatical leave at Cornell University

This research was supported in part by Iranian National Research Council grant while the author was on sabbatical leave at Cornell University

Notes

This research was supported in part by Iranian National Research Council grant while the author was on sabbatical leave at Cornell University

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