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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/11404
Title: On the bifurcation results for fractional Laplace equations
Authors: Dwivedi, Gaurav
Keywords: Mathematics
Laplace equations
Bifurcations
Issue Date: Feb-2017
Publisher: Wiley
Abstract: In this paper, we consider the bifurcation problem for the fractional Laplace equation urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0001 where urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0002 is an open bounded subset with smooth boundary, urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0003 stands for the fractional Laplacian. We show that a continuum of solutions bifurcates out from the principal eigenvalue λ1 of the problem urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0004 and, conversely.
URI: https://onlinelibrary.wiley.com/doi/full/10.1002/mana.201600250
http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11404
Appears in Collections:Department of Mathematics

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