dc.contributor.author |
BHAKTA, MOUSOMI |
en_US |
dc.contributor.author |
CHAKRABORTY, SOUPTIK |
en_US |
dc.contributor.author |
Pucci, Patrizia |
en_US |
dc.date.accessioned |
2021-05-21T09:13:25Z |
|
dc.date.available |
2021-05-21T09:13:25Z |
|
dc.date.issued |
2021-01 |
en_US |
dc.identifier.citation |
Advances in Nonlinear Analysis, 10(1), 1086-1116. |
en_US |
dc.identifier.issn |
2191-950X |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5878 |
|
dc.identifier.uri |
https://doi.org/10.1515/anona-2020-0171 |
en_US |
dc.description.abstract |
This paper deals with existence and multiplicity of positive solutions to the following class of non-local equations with critical nonlinearity: {(-Delta)(s)u-gamma u/vertical bar x vertical bar(2s) = K(x)vertical bar u vertical bar 2*s(t)-2u/vertical bar x vertical bar t +f(x) in R-N,u is an element of (H)/Over dots (RN), where N > 2s, s 2 (0, 1), 0 is an element of t < 2 s < N and 2 * s (t) := 2( N-t) N-2 s. Here 0 < < N, s and N,s is the best Hardy constant in the fractional Hardy inequality. The coefficient K is a positive continuous function on RN, with K(0) = 1 = lim jxj!1 K(x). The perturbation f is a nonnegative nontrivial functional in the dual space. H s( RN) 0 of. H s( RN). We establish the prole decomposition of the Palais-Smale sequence associated with the functional. Further, if K >= 1 and kf k(. H s) 0 is small enough (but f 6 0), we establish existence of at least two positive solutions to the above equation. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
De Gruyter |
en_US |
dc.subject |
Nonlocal equations |
en_US |
dc.subject |
Fractional Laplacian |
en_US |
dc.subject |
Hardy-Sobolev Equations |
en_US |
dc.subject |
Profile Decomposition |
en_US |
dc.subject |
Palais-Smale Decomposition |
en_US |
dc.subject |
Energy Estimate |
en_US |
dc.subject |
Positive Solutions |
en_US |
dc.subject |
Min-Max Method |
en_US |
dc.subject |
2021-MAY-WEEK3 |
en_US |
dc.subject |
TOC-MAY-2021 |
en_US |
dc.subject |
2021 |
en_US |
dc.title |
Fractional Hardy-Sobolev equations with nonhomogeneous terms |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Mathematics |
en_US |
dc.identifier.sourcetitle |
Advances in Nonlinear Analysis |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |