Multiplicity results for (p,q) fractional elliptic equations involving critical nonlinearities

dc.contributor.author	BHAKTA, MOUSOMI	en_US
dc.contributor.author	MUKHERJEE, DEBANGANA	en_US
dc.date.accessioned	2019-03-26T10:01:03Z
dc.date.available	2019-03-26T10:01:03Z
dc.date.issued	2019-03	en_US
dc.identifier.citation	Advances in Differential Equations, 24(3-4), 185-228.	en_US
dc.identifier.issn	1079-9389	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2377
dc.identifier.uri	https://projecteuclid.org/euclid.ade/1548212469	en_US
dc.identifier.uri	https://arxiv.org/abs/1801.09925	en_US
dc.description.abstract	In this paper, we prove the existence of infinitely many nontrivial solutions for the class of (p, q) fractional elliptic equations involving concave-critical nonlinearities in bounded domains in R-N. Further, when the nonlinearity is of convex-critical type, we establish the multiplicity of nonnegative solutions using variational methods. In particular, we show the existence of at least cat(Omega)(Omega) nonnegative solutions.	en_US
dc.language.iso	en	en_US
dc.publisher	Khayyam Publishing, Inc.	en_US
dc.subject	Concave-Convex Nonlinearities	en_US
dc.subject	Nehari Manifold	en_US
dc.subject	Sign	en_US
dc.subject	TOC-MAR-2019	en_US
dc.subject	2019	en_US
dc.title	Multiplicity results for (p,q) fractional elliptic equations involving critical nonlinearities	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Advances in Differential Equations	en_US
dc.publication.originofpublisher	Foreign	en_US