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20112026
most citedExistence and asymptotic behavior of solution to a singular elliptic problem

2 citations · 5 across the 36 of their papers we have counts for

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math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.AP2025

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 condi…

math.AP2025

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) equation…

math.AP2025

Entire Large Solutions for Competitive Semilinear Elliptic Systems with General Nonlinearities Satisfying Keller--Osserman Conditions

Dragos-Patru Covei

We study positive radial solutions of the weighted cooperative system , in , , when the Newtonian potentials of the nonne…