A Nonlinear PDE with Two Hardy–Sobolev Critical Exponents with One-Dimensional Singularity
For $N\geq 4$, we let $\Omega$ be a bounded domain of $\mathbb{R}^N$ and $\Gamma$ be a closed curve contained in $\Omega$. We study the existence of positive solutions $u \in H^1_0\left(\Omega\right)$ to the equation\begin{equation*}-\Delta u+hu=\lambda\rho^{-s_1}_\Gamma u^{2^*_{s_1}-1}+\rho^{-s_2}_...
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| Date: | 2026 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2026
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1129 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |