Oza, PriyankPriyankOza2025-08-312025-08-312024-12-0110.1002/mma.102972-s2.0-85197220963https://d8.irins.org/handle/IITG2025/28616We establish Lyapunov-type inequality for equations concerning general class of second-order non-symmetric elliptic operators with singular coefficients. Our approach is based on the probabilistic representation of solutions and stochastic calculus. We also discuss a Lyapunov-type inequality for equations pertaining to second-order symmetric operator with some regularity assumptions on the coefficients and a nonlinear Neumann boundary condition.falseDirichlet and Neumann boundary value problem | Dirichlet form | non-symmetric semigroup | probabilistic representationArticle1099147614688-14698December 20240arJournal0