Titlebook: Variational Methods; Proceedings of a Con Henri Berestycki,Jean-Michel Coron,Ivar Ekeland Conference proceedings 1990 Springer Science+Busi

Ringworm

异端

我的巨大

Counting Singularities in Liquid Crystals. We linearly dominate the number of points of discontinuity of such a map by the energy of its boundary value function. Our bound is optimal (modulo the best constant) and is the first bound of its kind. We also show that the locations and numbers of singular points of minimizing maps is often coun

Canvas

Topological results on Fredholm maps and application to a superlinear differential equationular solutions may accumulate. Call .={.: .(.) is not surjective} the singular set of . then the problem of analyzing the structure of the solution set consists in trying to give a description of ..(.) ∩ .. The point of view we adopt in this paper is to consider real-analytic Fredholm maps of index

Jingoism

A New Setting For Skyrme’s Problemearching to identify baryons as solitons in meson field theory. For more details about the physics motivation see [1,7,9,10]. It can be defined as follows. A class of functions ø : .. → S., .,has to be defined so that the Skyrme’s energy functional .. is finitely defined in .. Then . has to be minim

Nebulizer

Point and Line Singularities in Liquid Crystalsee [E], [EK], [C], [DG]. The liquid crystal phase usually lies between a solid phase and an isotropic liquid phase with phase transition being induced by temperature change. A static model typically involves a kinematic variable n(.), called the ., which is a unit vector defined for . in a spatial r

Pelvic-Floor

echnic

genesis

彩色的蜡笔

Nonlinear Variational Two-Point Boundary Value Problems observed that if the function .: . × ℝ → ℝ defined by . for some real number . and all (., .) ∈ . × ℝ, then the corresponding action integral . is such that . for some real number . and all (., .) ∈ . × ℝ, then the corresponding action integral . is bounded below on the set ..(.) of functions . of