Asymptotic properties of critical points for subcritical Trudinger-Moser functional
On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0,2\pi ) and its restriction Eα∣Σλ{E}_{\alpha }{...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-01-01
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| Series: | Advanced Nonlinear Studies |
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| Online Access: | https://doi.org/10.1515/ans-2022-0042 |