Title: Sharp Sobolev and Adams–Trudinger–Moser embeddings on weighted Sobolev spaces and their applications
Abstract: Abstract We derive sharp Sobolev embeddings on a class of Sobolev spaces with potential weights without assuming any boundary conditions. Moreover, we consider the Adams-type inequalities for the borderline Sobolev embedding into the exponential class with a sharp constant. As applications, we prove that the associated elliptic equations with nonlinearities in both forms of polynomial and exponential growths admit nontrivial solutions.
Publication Year: 2024
Publication Date: 2024-01-03
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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