13 papers · 1 filter
Optimal Production Planning Under Macroeconomic Regime Switches
Dragos-Patru Covei
We develop a comprehensive mathematical and computational framework for optimal production planning in economies governed by stochastic regime switches driven by a continuous-time…
The Triality of Radial Nonlinear Dynamics: Analysis of Riccati, Schrödinger, and Hamilton--Jacobi--Bellman Equations
Dragos-Patru Covei
This study develops a unified mathematical framework for the analysis of radial differential equations, revealing a fundamental connection between three distinct classes of problem…
Existence, Sharp Boundary Asymptotics, and Stochastic Optimal Control for Semilinear Elliptic Equations with Gradient-Dependent Terms and Singular Weights: Theory, Economic Applications, and Numerical Simulations
Dragos-Patru Covei
We develop a unified framework for semilinear elliptic equations with gradient-dependent nonlinearities and singular weights in strictly convex domains. Considering large solutions…
A Bernoulli-Type Localization Principle for Nonlinear Diffusion Equations: Structural Description of Solutions and First Application to Image Processing
Dragos-Patru Covei
This paper develops a new method for analyzing nonlinear diffusion equations of porous--medium type with time-dependent growth rates, based on the \emph{localization of solutions}…
Radial and Non-Radial Solution Structures for Quasilinear Hamilton--Jacobi--Bellman Equations in Bounded Settings
Dragos-Patru Covei
This paper establishes the existence, uniqueness, and global regularity of positive classical solutions to a class of quasilinear Hamilton--Jacobi--Bellman (HJB) equatio…
Well-Posedness and Monotone Analysis for a Coupled Sublinear Lane--Emden--Fowler System on Bounded Domains
Dragos-Patru Covei
We investigate a coupled system of elliptic equations of Lane--Emden--Fowler type on a bounded domain () with homogeneous Dirichlet boundary cond…