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Ekeland's Variational Principle for An $\bar{L}^{0}-$Valued Function on A Complete Random Metric Space
Random metric space random normed module L0− valued function lower semicontinuity Ekeland’s variational principle
2011/9/20
Abstract: Motivated by the recent work on conditional risk measures, this paper studies the Ekeland's variational principle for a proper, lower semicontinuous and lower bounded $\bar{L}^{0}-$valued fu...
Surface tension of multi-phase flow with multiple junctions governed by the variational principle
multi-phase flow Surface tension variational principle Numerical Analysis
2011/10/8
Abstract: We explore a computational model of an incompressible fluid with a multi-phase field in three-dimensional Euclidean space. By investigating an incompressible fluid with a two-phase field geo...
For proper lower semi-continuous functionals bounded below which do not increase upon polarization, an improved version of Ekeland's variational principle can be formulated in Banach spaces, which pro...