Yongjun Hou

collaborators

2 papers

math.AP2025

Optimal Hardy-weights for the Finsler $p$ -Dirichlet integral with a potential

Yongjun Hou

Fix an integer $n \geq 2$ , an exponent $1 < p < \infty$ , and a domain $I^c ◯ \subseteq R^{n}$ . Let $I^c ◯^{*} ≜ I^c ◯ ∖ {x^}$ where $x^\in I^c ◯$ . Under some further…

math.AP2024

Finsler $p$ -Laplace equation with a potential: Maz'ya-type characterization and attainments of the Hardy constant

Yongjun Hou

We study positive properties of the quasilinear elliptic equation $$-\mathrm{div}\mathcal{A}(x,\nabla u)+V|u|^{p-2}u=0\quad (1<p<\infty)\qquad \mbox{ in } Î©,$$ where the function…

Optimal Hardy-weights for the Finsler p-Dirichlet integral with a potential

Finsler p-Laplace equation with a potential: Maz'ya-type characterization and attainments of the Hardy constant

Optimal Hardy-weights for the Finsler $p$ -Dirichlet integral with a potential

Finsler $p$ -Laplace equation with a potential: Maz'ya-type characterization and attainments of the Hardy constant