| dc.contributor.author |
Dwivedi, Gaurav |
|
| dc.contributor.author |
Tyagi, Jagmohan |
|
| dc.contributor.author |
Verma, Ram Baran |
|
| dc.date.accessioned |
2016-06-21T07:09:21Z |
|
| dc.date.available |
2016-06-21T07:09:21Z |
|
| dc.date.issued |
2016-06 |
|
| dc.identifier.citation |
Dwivedi, Gaurav; Tyagi, Jagmohan and Verma, Ram Baran, “On the bifurcation for fractional Laplace equations”, arXiv, Cornell University Library, DOI: arXiv:1606.04452, Jun. 2016. |
en_US |
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/2348 |
|
| dc.identifier.uri |
http://arxiv.org/abs/1606.04452 |
|
| dc.description.abstract |
In this paper, we consider the bifurcation problem for fractional Laplace equation
(−Δ)su=λu+f(λ,x,u)in Ω,u=0in Rn∖Ω,
where Ω⊂Rn,n>2s(0<s<1) is an open bounded subset with smooth boundary, (−Δ)s stands for the fractional Laplacian. We show that a continuum of solutions bifurcates out from the principal eigenvalue λ1 of the eigenvalue problem
(−Δ)sv=λvinΩ,v=0inRn∖Ω,
and, conversely. |
en_US |
| dc.description.statementofresponsibility |
by Gaurav Dwivedi, Jagmohan Tyagi, Ram Baran Verma |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.title |
On the bifurcation for fractional Laplace equations |
en_US |
| dcterms.type |
Pre- Print |
|