Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential

2017/07/08 by Helin Guo, Yimin Zhang, Guo, Helin +3 · 1 citation
Engineering · Mathematics · #35J20 #35J60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1707.02445

openalex publication_date 2017/07/08 · openalex created_date 2017/07/21 · openalex updated_date 2026/07/28

Abstract

We study a generalized Kirchhoff type equation with trapping potential. The existence and blow-up behavior of solutions with normalized L2-norm for this problem are discussed.

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• Normalized solutions to Kirchhoff equation with the Sobolev critical exponent in high dimensional spaces

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