Normalized solutions for Chern–Simons–Schrödinger system with mixed dispersion and critical exponential growth
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DOI: 10.1002/mma.10383
Abstract: This paper focuses on the existence of normalized solutions for the Chern–Simons–Schrödinger system with mixed dispersion and critical exponential growth. These solutions correspond to critical points of the underlying energy functional under the L2$$ {L}^2… read more here.
Keywords: system; schr dinger; solutions chern; chern simons ... See more keywords
Sign-Changing Solutions for Chern–Simons–Schrödinger Equations with Asymptotically 5-Linear Nonlinearity
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DOI: 10.1007/s40840-020-00974-z
Abstract: In this paper, we study the following Chern–Simons–Schrodinger equation $$\begin{aligned} {\left\{ \begin{array}{ll} \displaystyle -\Delta u+\omega u+\lambda \Big (\frac{h^{2}(|x|)}{|x|^{2}}+ \int _{|x|}^{+\infty }\frac{h(s)}{s}u^{2}(s)\hbox {d}s\Big )u=g(u) \quad \text{ in }\ {\mathbb {R}}^{2},\\ \displaystyle u\in H_r^1({\mathbb {R}}^{2}), \end{array}\right. }… read more here.
Keywords: changing solutions; chern simons; solutions chern; asymptotically linear ... See more keywords
Complex D(2, 1; ζ) and spin chain solutions from Chern-Simons theory
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DOI: 10.1063/5.0246436
Abstract: Using properties of OSp(4|2) and PSL(2|2), we investigate the super geometry of the parametric D(2, 1; ζ) labeled by variable ζ belonging to C\{−1,0} and we give applications in the study of integrable superspin chains. This… read more here.
Keywords: spin chain; complex spin; solutions chern; chain solutions ... See more keywords