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Phenomena of critical exponent in ℝ2

Published online by Cambridge University Press:  14 November 2011

Adimurthi ,
P. N. Srikanth  and
S. L. Yadava
Adimurthi
Affiliation:
T.I.F.R. Centre, P.B. No. 1234, Bangalore 560 012, India
P. N. Srikanth
Affiliation:
T.I.F.R. Centre, P.B. No. 1234, Bangalore 560 012, India
S. L. Yadava
Affiliation:
T.I.F.R. Centre, P.B. No. 1234, Bangalore 560 012, India
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Synopsis

In this paper we make an attempt to explain the critical phenomena in ℝ2. We do this by exhibiting a class of functions having growth and for which

do not admit a solution when R is sufficiently small, where B(R) denotes the ball of radius R in ℝ2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 1-2 , 1991 , pp. 19 - 25
Copyright
Copyright © Royal Society of Edinburgh 1991

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