On a system associated with p-wave superconductivity in $\mathbb{R}^2$

Qinghua Chen, Yutian Lei
2022 Communications in Mathematical Sciences  
This paper is concerned with the equations related to the p-wave superconductivity. We find an Euler-Lagrange system of the Ginzburg-Landau free energy functional and then establish the Pohozaev identity. In addition, we estimate the uniform upper bounds of classical solutions and their gradients. Based on these results, we obtain quantization effects and asymptotic behavior at infinity of classical solutions, and the Liouville theorem of finite energy solutions.
doi:10.4310/cms.2022.v20.n7.a6 fatcat:wqcugnvms5do7az743vdwcxsum