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Extremal functions for Trudinger–Moser inequalities with nonnegative weights
Using blow-up analysis, the author proves the existence of extremal functions for Trudinger–Moser inequalities with nonnegative weights on bounded Euclidean domains or compact Riemannian surfaces. This extends recent results of Yang (J. Differ. Equ. 258:3161–3193, 2015) and Yang–Zhu (Proc. Am. Math....
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer International Publishing
2018
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5970203/ https://www.ncbi.nlm.nih.gov/pubmed/29881242 http://dx.doi.org/10.1186/s13660-018-1718-7 |