We prove Trudinger type inequalities with radial increasing massweights in the whole RN , in the setting of mass-weighted Sobolev spaces W 1,N w (RN ). Due to the presence of increasing weights, we will not apply symmetrization tools: the proofs of our inequalities mainly rely on a proper transformation of variables, which allows us to reduce the weighted case to the un-weighted classical one.
Trudinger-type inequalities in with radial increasing mass-weight / C. Tarsi (ADVANCES IN ANALYSIS AND GEOMETRY). - In: Potentials and Partial Differential Equations : The Legacy of David R. Adams / [a cura di] S. Lenhart, J. Xiao. - [s.l] : De Gruyter, 2023. - ISBN 978-3-11-079265-2. - pp. 197-213 [10.1515/9783110792720-009]
Trudinger-type inequalities in with radial increasing mass-weight
C. Tarsi
2023
Abstract
We prove Trudinger type inequalities with radial increasing massweights in the whole RN , in the setting of mass-weighted Sobolev spaces W 1,N w (RN ). Due to the presence of increasing weights, we will not apply symmetrization tools: the proofs of our inequalities mainly rely on a proper transformation of variables, which allows us to reduce the weighted case to the un-weighted classical one.
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