Multiplicity of Positive Solutions of Nonlinear Elliptic Equation with Gradient Term

2023/12/05 by Fang, Fei, Tan, Zhong, Xiong, Huiru
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.02718

Abstract

In this paper, we consider the following nonlinear elliptic equation with gradient term: \[ \ \begingathered - Δu - (1)/(2)(x ⋅ ∇ u) + (λa(x)+b(x))u = βu^q +u^{2^*-1}, \hfill 0

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