Solitons in combined linear and nonlinear lattice potentials     Solitons  nonlinear lattice potentials  combined linear       font style='font-size:12px;'> 2010/4/1

We study ordinary solitons and gap solitons (GSs) in the effectively one-dimensional Gross-Pitaevskii equation, with a combination of linear and nonlinear lattice potentials. The main points of the an...

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Dykstra’s Algorithm as the Nonlinear Extension of Bregman's Optimization Method      Bregman projection  convex programming  Dykstra's algorithm       font style='font-size:12px;'> 2009/1/22

We show that Dykstra's algorithm with Bregman projections, which finds the Bregman projection of a point onto the nonempty intersection of finitely many closed convex sets, is actually the nonlinear e...

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Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints     Continuous Solution  Parametric Nonlinear Equation  Constraints       font style='font-size:12px;'> 2009/1/16

Combining a consequence of the Michael continuous selection theorem and an iterative scheme we prove the existence of a continuous solution of a parametric equation with constraints. An inverse functi...

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Homographic Approximation for Some Nonlinear Parabolic Unilateral Problems     Homographic  Nonlinear Parabolic  Unilateral Problems       font style='font-size:12px;'> 2009/1/15

We deal with nonlinear parabolic unilateral problems by means of the homographic approximation, introduced by C. M. Brauner and B. Nicolaenko [in: "Nonlinear Partial Diff. Equations and Their Applicat...

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Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data     summability  nonlinear parabolic equations  measure data       font style='font-size:12px;'> 2009/1/13

In this paper, we give an improvement of the summability of solutions to nonlinear parabolic equations with measure data.

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