Moser functions and fractional Moser-Trudinger type inequalities

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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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
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:30 Oct 2017 09:04
Deposited On:30 Oct 2017 09:04

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