2 papers
math.AP2025
Principal eigenvalues for the weighted p-Laplacian and antimaximum principle in
Anumol Joseph, Abhishek Sarkar
We study the existence of principal eigenvalues and principal eigenfunctions for weighted eigenvalue problems of the form: \begin{equation*} - \mbox{div} ( L (x) |\nabla u|^{p-2} \…
math.AP2025
A note on the log-perturbed Brézis-Nirenberg problem on the hyperbolic space
Monideep Ghosh, Anumol Joseph, Debabrata Karmakar
We consider the log-perturbed Brézis-Nirenberg problem on the hyperbolic space \begin{align*} Î_{\mathbb{B}^N}u+λu +|u|^{p-1}u+θu \ln u^2 =0, \ \ \ \ u \in H^1(\mathbb{B}^N), \…