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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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13 papers · 1 filter

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…

math.AP2025

Existence and large radial solutions for an elliptic system under finite new Keller-Osserman integral conditions

Dragos-Patru Covei

We study the semilinear elliptic system \[ Δu = p(|x|)\,g(v), \qquad Δv = q(|x|)\,f(u), \qquad x \in \mathbb{R}^n,\; n \geq 3, \] under new Keller--Osserman-type integral condition…

math.AP2025

An Iterative PDE Based Illumination Restoration Scheme for Image Enhancement

Dragos-Patru Covei

We present a novel iterative scheme for restoring uneven illumination in grayscale images. Our approach solves, at each global iteration, a nonlinear elliptic equation for an auxil…

math.AP2025

Well-Posedness and Numerical Approximation of a Class of Nonlocal Elliptic Equations with Gaussian Kernels

Dragos-Patru Covei

This paper investigates the mathematical properties and numerical approximation of a class of nonlocal elliptic partial differential equations of the form \begin{equation*} -Δu + λ…