Oza, PriyankPriyankOzaTyagi, JagmohanJagmohanTyagi2025-08-312025-08-312025-01-0110.1080/07362994.2025.24715432-s2.0-105000395991http://repository.iitgn.ac.in/handle/IITG2025/28316Abstract.: We establish the existence of a viscosity subsolution along with its representation formula to the equation involving Pucci’s extremal operator (Formula presented.) with zero-th order term. We use a method based on a dynamic programming principle presented by Denis et-al. (Potential Analysis, 34(2), (2010), 139–161). As an application of our solution representation formula, we prove the Hopf lemma for (Formula presented.) with zero-th order term. Our approach is based on stochastic calculus and probabilistic methods.falseDirichlet boundary value problem | Hopf lemma | probabilistic methods | Pucci’s extremal operator | viscosity solutionArticle1532935620250arJournal0WOS:001446291300001