Existence of nonradial positive and nodal solutions to a critical Neumann problem in a cone
We study the critical Neumann problem \begin{equation*} \begin{cases} -\Delta u = |u|^{2^*-2}u &\text{in }\Sigma_\omega,\\ \quad\frac{\partial u}{\partial\nu}=0 &\text{on }\partial\Sigma_\omega, \end{cases} \end{equation*} in the unbounded cone $\Sigma_\omega:=\{tx:x\in\omega\text{ an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-03-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/mine.2021022?viewType=HTML |