18 citations · 42 across the 22 of their papers we have counts for
26 papers
On the Nazarov--Shcheglova Conjecture for Sharp Sobolev Inequalities: The Case (n,p)=(3,2)
Mohamed Jleli, Bessem Samet
For integers and , let denote the optimal constant in the one-dimensional Sobolev inequality \[ \|u^{(k)}\|_{L^q(0,1)} \leq λ_3(n,k,p…
On the Zero-Mass Problem of Bandle, Levine, and Zhang
Mohamed Jleli, Bessem Samet
We study the critical behavior of the inhomogeneous semilinear heat equation \[ u_t-Δu=|u|^p+w(x) \qquad\text{in }(0,\infty)\times\mathbb{R}^N, \] where \(N\geq3\), \(p>1\), and \(…
A capacitary approach to Lyapunov-type inequalities for elliptic problems on weighted graphs
Mohamed Jleli, Bessem Samet
We initiate the study of Lyapunov-type inequalities for Dirichlet problems driven by the discrete p-Laplacian on weighted graphs. The approach is capacitary and is based on point p…
A Capacitary Approach to Semilinear Elliptic Inequalities with Potentials on Weighted Graphs
Mohamed Jleli, Bessem Samet
We develop a capacitary approach to semilinear elliptic inequalities on weighted graphs with a potential. More precisely, we study the nonexistence of nontrivial nonnegative soluti…
Semilinear Heat Inequalities with a Hardy-Type Potential in an Exterior Geodesic Domain on
Mohamed Jleli, Bessem Samet
We study an inhomogeneous semilinear heat inequality on the unit sphere \(\mathbb S^N\), \(N\ge3\), in an exterior geodesic domain associated with a fixed pole. The equation involv…
Double Criticality for a Hardy-Rellich Biharmonic Heat Equation in an Exterior Domain
Hadeel Alhatlani, Mohamed Jleli, Bessem Samet
We study the existence and nonexistence of weak solutions to an inhomogeneous semilinear biharmonic heat equation in an exterior domain, involving a singular Hardy--Rellich potenti…