Weighted Elliptic Equations in Dimension N with Subcritical and Critical Double Exponential Nonlinearities
In this paper, we prove the existence of nontrivial solutions for the following weighted problem without the Ambrosetti-Rabinowitz condition:$- \mathrm{div} (\sigma(x)|\nabla u|^{N-2} \nabla u) = f(x,u)$ and $u >0$ in $B$, $u=0$ on $\partial B$, where $B$ is the unit ball of $\mathbb{R}^N$, $...
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| Date: | 2023 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2023
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1020 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |