On condensate of solutions for the Chern-Simons-Higgs equation
The purpose of this paper is to study the structure of doubly periodic solutions for the Chern-Simons-Higgs equation with a small coupling constant. First, the Dirac measure is eliminated by Greens function to obtain the related equation. The following problems are solved: {\parindent=0.7cm \begin{itemize}\item[1.] Do the MF type blow-up point and the CS type blow-up point co-exist in a sequence of bubbling solutions? \item[2.] What are the necessary and sufficient conditions for the set \({q_1, \ldots , q_k}\) to be a blow-up set of a sequence of bubbling solutions? \end{itemize}} The proofs use the maximum principle and the Pohozaev identity.
scientific article; zbMATH DE number 6816530
scientific article