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Constraint Minimizers of Inhomogeneous Mass Subcritical Minimization Problems
  • Yongshuai Gao,
  • Shuai Li
Yongshuai Gao
Central China Normal University
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Shuai Li
Huazhong Agricultural University
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Abstract

This paper considers minimizers of the following inhomogeneous $L^2$-subcritical energy functional \[E(u):=\int_{\R^N}|\nabla u|^{2}dx-\frac{2}{p+1}\int_{\R^N}m(x)|u|^{p+1}dx,%\ u\in H^{1}(\R^N), \] under the mass constraint $\|u\|^{2}_{2}=M$. Here $N\geq1$, $p\in(1,1+\frac{4}{N})$, $M>0$ and the inhomogeneous term $m(x)$ satisfies $0

Peer review status:ACCEPTED

09 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
10 Sep 2020Submission Checks Completed
10 Sep 2020Assigned to Editor
14 Sep 2020Reviewer(s) Assigned
15 Feb 2021Review(s) Completed, Editorial Evaluation Pending
17 Feb 2021Editorial Decision: Revise Minor
28 Feb 20211st Revision Received
28 Feb 2021Submission Checks Completed
28 Feb 2021Assigned to Editor
28 Feb 2021Editorial Decision: Accept