3 papers
math.AP2025
Uniqueness of positive solutions for finsler p-Laplacian equations with polynomial non-linearity
Rongxun He, Wei Ke
We consider the uniqueness of the following positive solutions of anisotropic elliptic equation: \begin{equation} \nonumber \left\{ \begin{aligned} -Î^F_p u&=u^q \quad \text{in} \…
math.AP2025
Uniqueness of positive solutions for m-Laplacian equations with polynomial non-linearity
Wei Ke
We consider the uniqueness of the following positive solutions of -Laplacian equation: \begin{equation} \left\{ \begin{aligned} -Î_m u&=λu^{m-1}+u^{p-1} \quad \text{in} \quad…
math.AP2025
On the Hessian Hardy-Sobolev Inequality and Related Variational Problems
Rongxun He, Wei Ke
In this paper, we first prove the Hardy-Sobolev inequality for the Hessian integral by means of a descent gradient flow of certain Hessian functionals. As an application, we study…