most citedEnergy quantization of the two dimensional Lane-Emden equation with vanishing potentials

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math.AP2023★ 1 cited

Energy quantization of the two dimensional Lane-Emden equation with vanishing potentials

Zhijie Chen, Houwang Li

We study the concentration phenomenon of the Lane-Emden equation with vanishing potentials \[\begin{cases} -Δu_n=W_n(x)u_n^{p_n},\quad u_n>0,\quad\text{in}~Ω, u_n=0,\quad\text{on}~…