most citedMultiple nonsmooth solutions for nonconvex variational boundary value problems in

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10 papers

math.OC2016

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…

math.AP2016

Well-posedness for the Cauchy problem of spatially weighted dissipative equation

Ziheng Tu, Xiaojun Lu

This paper mainly investigates the Cauchy problem of the spatially weighted dissipative equation with initial data in the weighted Lebesgue space. A generalized Hankel Transform is…

math.AP2016

Regularity of hyperbolic magnetic Schrödinger equation with oscillating coefficients

Xiaojun Lu, Xiaofen Lv

This paper mainly discuss the regularity behavior of the hyperbolic magnetic Schroedinger equation with singular coefficients near the origin. We apply the techniques from the micr…

math.OC2016

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…

math-ph2016

A new approach for the strong unique continuation of electromagnetic Schroedinger operator with complex-valued coefficient

Xiaojun Lu, Xiaofen Lv

This paper mainly addresses the strong unique continuation property for the electromagnetic Schrödinger operator with complex-valued coefficients. Appropriate multipliers with phys…

math.OC2016

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…