The amendibility of a spin-0 and spin-1 particle with a combined potential in the presence of the Duffin-Kemmer-Petiau wave equation is highly recommendable. Thus, the approximate bound state of the Duffin-Kemmer-Petiauequation and Schrӧdinger equation were obtained with a combination of Hulthẻn and Yukawa potentials in theframework of asymptotic iteration method and parametric Nikiforov-Uvarov method respectively […]

Read More### Elliptic gradient estimates and Liouville theorems for a weighted nonlinear parabolic equation

- September 2, 2020
- No Comment

Let (MN,g,e−fdv) be a complete smooth metric measure space with ∞-Bakry–Émery Riccitensor bounded from below. We derive elliptic gradient estimates for positive solutions of a weighted nonlinear parabolic equation (Δf−∂∂t)u(x, t)+q(x, t)uα(x, t)=0, where (x,t)∈MN×(−∞,∞) and α is an arbitrary constant. As Applications we prove a Liouville-type theorem for positive ancient solutions and Harnack-type inequalities […]

Read More