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Analytic solutions for the approximated Kantorovich mass transfer problems by -Laplacian approach
Yanhua Wu, Xiaojun Lu
This manuscript discusses the approximation of a global maximizer of the Kantorovich mass transfer problem through the approach of -Laplacian equation. Using an approximation me…
Analytic solutions for the approximation of -Laplacian problem
Xiaojun Lu, Xiaofen Lv
This paper mainly investigates the analytic solutions for the approximation of -Laplacian problem. Through an approximation mechanism, we convert the nonlinear partial different…
An approximation method for the optimization of -th moment of -valued random variable
Xiaojun Lu, Yanhua Wu
This paper mainly addresses the optimization of -th moment of -valued random variable. Through an ingenious approximation mechanism, one transforms the maximizatio…
Canonical duality approach in the approximation of optimal Monge mass transfer mapping
Yanhua Wu, Xiaojun Lu
This paper mainly addresses the Monge mass transfer problem in the 1-D case. Through an ingenious approximation mechanism, one transforms the Monge problem into a sequence of minim…
Multiple nonsmooth solutions for nonconvex variational boundary value problems in
Xiaojun Lu, David Yang Gao
This paper presents a set of complete solutions of a nonconvex variational problem with a double-well potential. Based on the canonical duality-triality theory, the associated nonl…
On the extrema of a nonconvex functional with double-well potential in higher dimensions
Xiaojun Lu, David Yang Gao
This paper mainly addresses the extrema of a nonconvex functional with double-well potential in higher dimensions through the approach of nonlinear partial differential equations.…