Multiple nodal solutions for Choquard type equations with an asymptotically linear term
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DOI: 10.1080/00036811.2025.2496284
Abstract: In this paper, we consider the following Choquard type equation with an asymptotically linear term (1) $$\begin{align} -\Delta u+u=\left(\int_{\mathbb{R}^N}\frac{|u(y)|^p}{|x-y|^{N-\alpha}}\,{\rm d}y\right)|u|^{p-2}u+f(u) \end{align}$$−Δu+u=(∫RN|u(y)|p|x−y|N−αdy)|u|p−2u+f(u) where $ N\geq 3, \alpha \in (N-4,N), p\in (2,\frac {N+\alpha }{N-2}) $ N≥3,α∈(N−4,N),p∈(2,N+αN−2) and… read more here.
Keywords: asymptotically linear; multiple nodal; linear term; nodal solutions ... See more keywords
Mirror protected multiple nodal line semimetals and material realization
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DOI: 10.1103/physrevb.98.201104
Abstract: The conventional $\mathbit{k}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbit{p}$ method fails to capture the full and essential physics of many symmetry enriched multiple nodal line structures in the three-dimensional Brillouin zone. Here, we present a systematical method to construct the effective… read more here.
Keywords: multiple nodal; line; line semimetals; nodal line ... See more keywords