Phenomena of critical exponent in R2

Adimurthi, ; Srikanth, P. N. ; Yadava, S. L. (1991) Phenomena of critical exponent in R2 Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 119 (1-2). pp. 19-25. ISSN 0308-2105

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In this paper we make an attempt to explain the critical phenomena in R2. We do this by exhibiting a class of functions having eu2 growth and for which -Δu=ƒ(u) in B(R) u>0 u=0 on ∂B(R) do not admit a solution when R is sufficiently small, where B(R) denotes the ball of radius R in R2.

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Deposited On:08 May 2012 14:42
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