2 citations · 3 across the 4 of their papers we have counts for
4 papers
The Proof of Alzer's Conjecture on Generalized Logarithmic Mean
Hongwei Lou, Dongdi Liu
In 1987, Alzer posed a conjecture on generalized logarithmic mean, which was introduced by Stolarsky in 1975. To prove Alzer's conjecture, Lou posed a conjecture on generalized inv…
Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls
Bo Li, Hongwei Lou
An optimal control problem governed by semilinear elliptic partial differential equations is considered. The equation is in divergence form with the leading term containing control…
Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term
Hongwei Lou
An optimal control problem for semilinear parabolic partial differential equations is considered. The control variable appears in the leading term of the equation. Necessary condit…
Second-Order Necessary/Sufficient Conditions for Optimal Control Problems in the Absence of Linear Structure
Hongwei Lou
Second-order necessary conditions for optimal control problems are considered, where the ``second-order" is in the sense of that Pontryagin's maximum principle is viewed as a first…