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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2377| Title: | Multiplicity results for (p,q) fractional elliptic equations involving critical nonlinearities |
| Authors: | BHAKTA, MOUSOMI MUKHERJEE, DEBANGANA Dept. of Mathematics |
| Keywords: | Concave-Convex Nonlinearities Nehari Manifold Sign TOC-MAR-2019 2019 |
| Issue Date: | Mar-2019 |
| Publisher: | Khayyam Publishing, Inc. |
| Citation: | Advances in Differential Equations, 24(3-4), 185-228. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2377 https://projecteuclid.org/euclid.ade/1548212469 https://arxiv.org/abs/1801.09925 |
| ISSN: | 1079-9389 |
| Appears in Collections: | JOURNAL ARTICLES |
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