Leray - Trudinger and Fractional Hardy – Sobolev Inequalities with Adams Inequality on Hyperbolic Space

Please use this identifier to cite or link to this item: https://repository.sustech.edu/handle/123456789/24257

Title:	Leray - Trudinger and Fractional Hardy – Sobolev Inequalities with Adams Inequality on Hyperbolic Space
Other Titles:	متباينة ليري ترودنجر ومتباينة هاردي سوبوليف الكسريه مع متباينة ادمز في الفضاء الزائدي
Authors:	Adam, Mohammed Ahmed Mohammed Supervisor, - Shawgy Hussein AbdAlla
Keywords:	Leray - Trudinger Fractional Hardy Sobolev Inequalities Hyperbolic Space Adams Inequality Mathematics
Issue Date:	10-Jul-2019
Publisher:	Sudan University of Science and Technology
Citation:	Adam, Mohammed Ahmed Mohammed . Leray - Trudinger and Fractional Hardy – Sobolev Inequalities with Adams Inequality on Hyperbolic Space / Mohammed Ahmed Mohammed Adam ; Shawgy Hussein AbdAlla .- Khartoum: Sudan University of Science and Technology, College of Science, 2019 .- 282 p. :ill. ;28cm .- PhD.
Abstract:	The given improvement and critical with Sharp trace and fractional Hardy-Sobolev inequalities are studied. We also study affine and best constants Moser-Trudinger and higher order Sobolev inequalities on high dimensional hyperbolic spaces and Morrey-Sobolev and Leray-Trudinger inequalities. We describe the optimizing improved interpolated Hardy and trace Hardy inequalities on bounded domains. Sharp Adams-type inequalities on the Euclidean and the hyperbolic spaces are investigated.
Description:	Thesis
URI:	http://repository.sustech.edu/handle/123456789/24257
Appears in Collections:	PhD theses : Science

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