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math.AP2024
A quasilinear elliptic equation with absorption term and Hardy potential
Marie-Françoise Bidaut-Véron Huyuan Chen
Here we study the positive solutions of the equation \begin{equation*} -Δ_{p}u+μ\frac{u^{p-1}}{\left\vert x\right\vert ^{p}}+\left\vert x\right\vert ^{θ}u^{q}=0,\qquad x\in \mathbb…
math.AP2024★ 2 cited
On positive solutions of critical semilinear equations involving the Logarithmic Laplacian
Huyuan Chen, Feng Zhou
In this paper, we classify the solutions of the critical semilinear problem involving the logarithmic Laplacian $$(E)\qquad \qquad\qquad\qquad\qquad \mathcal{L}_Δu= k u\log u,\qqua…