Hyder, Ali. (2016) Moser functions and fractional Moser-Trudinger type inequalities. Nonlinear Analysis, 146. pp. 185-210.
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Official URL: http://edoc.unibas.ch/44209/
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Abstract
We improve the sharpness of some fractional Moser–Trudinger type inequalities, particularly those studied by Lam–Lu and Martinazzi. As an application, improving upon works of Adimurthi and Lakkis, we prove the existence of weak solutions to the problem (−Δ)n2u=λuebu2in Ω,0<λ<λ1,b>0, with Dirichlet boundary condition, for any domain Ω in Rn with finite measure. Here λ1 is the first eigenvalue of (−Δ)n2 on Ω.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Analysis (Martinazzi) |
|---|---|
| UniBasel Contributors: | Hyder, Ali |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Elsevier |
| ISSN: | 0362-546X |
| e-ISSN: | 1873-5215 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: | |
| Last Modified: | 30 Oct 2017 09:04 |
| Deposited On: | 30 Oct 2017 09:04 |
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