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http://dspace.bits-pilani.ac.in:8080/jspui/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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