Multiplicity and asymptotic behavior of normalized solutions to p-Kirchhoff equations

2024/11/17 by Zhou, Jianwen, Yang, Puming
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.11037

Abstract

In this paper, we study a type of p-Kirchhoff equation -( a+b∫_{ℝ ³}| ∇ u |^pdx ) \varDelta _pu=λ| u |^p-2u+| u |^q-2u, x ∈ ℝ³ with the prescribed mass (∫_{ℝ ³}| u |^pdx)^(1)/(p) = c gt; 0 where a>0, b > 0,(3)/(2)

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