Guo, Qianqiao; Hu, Yunyun Two-bubble nodal solutions for slightly subcritical fractional Laplacian. (Chinese. English summary) Zbl 1374.35054 Acta Math. Sin., Chin. Ser. 59, No. 5, 659-676 (2016). Summary: In this paper, we consider the existence of nodal solutions with two bubbles to the slightly subcritical problem with the fractional Laplacian \[ \begin{cases} (-\Delta)^su=|u|^{p-1-\varepsilon}u,& x\in\Omega,\\u=0, & x\in\partial\Omega,\end{cases} \] where \(\Omega\) is a smooth bounded domain in \(\mathbb{R}^N, N > 2s, 0 < s < 1\), \(p = \frac{N+2s}{N-2s}\) and \(\varepsilon > 0\) is a small parameter. MSC: 35B33 Critical exponents in context of PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35R11 Fractional partial differential equations Keywords:fractional Laplacian; nodal solutions; slightly subcritical problem PDFBibTeX XMLCite \textit{Q. Guo} and \textit{Y. Hu}, Acta Math. Sin., Chin. Ser. 59, No. 5, 659--676 (2016; Zbl 1374.35054) Full Text: arXiv