| Автор | Hirano, Norimichi |
| Автор | Shioji, Naoki |
| Дата выпуска | 2007 |
| dc.description | We study the existence of multiple solutions for the problem \begin{alignat*}{2} -\Delta u+\lambda u & =|u|^{2^\ast-2}u+f \quad& \text{in }\varOmega, \\ \dfrac{\partial u}{\partial\nu} & =0 & & \text{on }\partial\varOmega, \end{alignat*} and we show that at least one of them is sign changing. Here $\varOmega$ is a bounded domain in $\mathbb{R}^N$ with $N\geq5$ whose boundary is of class $C^2$, $\partial/\partial\nu$ is the outward normal derivative, and $f\in L^{N/2}(\varOmega)$ whose $L^{2N/(N+2)}(\varOmega)$ norm is sufficiently small. |
| Издатель | Cambridge University Press |
| Название | A multiplicity result including a sign-changing solution for an inhomogeneous Neumann problem with critical exponent |
| DOI | 10.1017/S0308210505001277 |
| Electronic ISSN | 1473-7124 |
| Print ISSN | 0308-2105 |
| Журнал | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
| Том | 137 |
| Первая страница | 333 |
| Последняя страница | 347 |
| Аффилиация | Hirano Norimichi; Yokohama National University |
| Аффилиация | Shioji Naoki; Yokohama National University |
| Выпуск | 2 |
