Singularities in PDE and the Calculus of Variations / ed. by S.Alama, L.Bronsard, P.J.Sternberg. - Providence: American Mathematical Society, 2008. - 267 p.: ill. - (CRM Proceedings & Lecture Notes; Vol.44). - Incl. bibl. ref. - ISBN 978-0-8218-4350-5; ISSN 1065-8580978-0-8218-4350-5; ISSN 1065-8580

Оглавление / Contents

Preface ....................................................... vii Variational Problems Arising in Biology Elena Alvarez-Buylla, Mariana Benítez, Álvaro Chaos, Yuriria Cortés, Gerardo Escalera-Santos, Carlos Espinosa, and Pablo Padilla ............................................ 1 On the Cauchy Problem for Phase and Vortices in the Parabolic Ginzburg - Landau Equation Fabrice Béthuel, Giandomenico Orlandi, and Didier Smets ..... 11 Nonlocal Cahn - Hilliard and Isoperimetric Problems: Periodic Phase Separation Induced by Competing Long- and Short-Range Interactions Rustum Choksi ............................................... 33 On a Generalized Ginzburg - Landau Energy for Superconducting/Normal Composite Materials Tiziana Giorgi and Hala Jadallah ............................ 47 Global Questions for Map Evolution Equations Meijiao Guan, Stephen Gustafson, Kyungkeun Kang, and Tai-Peng Tsai ............................................... 61 Pohozaev-Type Identities for an Elliptic Equation Radu Ignat .................................................. 75 Some Remarks on Monge-Ampere Functions Robert L. Jerrard ........................................... 89 Variational Versus PDE-Based Approaches in Mathematical Image Processing B. Kawohl .................................................. 113 On the Energy of a Chern - Simons - Higgs Vortex Lattice Matthias Kurzke and Daniel Spirn ........................... 127 Some Recent Results about a Class of Singularly Perturbed Elliptic Equations Andrea Malchiodi ........................ 153 The Dipole Problem for H1/2(S2;S1)-Maps and Application Vincent Millot ............................................. 165 Hodge Decompositions, Г-Convergence and the Gross - Pitaevskii Energy Alberto Montero ............................................ 179 Bifurcation of Vortex Solutions to a Ginzburg - Landau Equation in an Annulus Yoshihisa Morita ........................................... 187 An Allen - Cahn Type Problem with Curvature Modification Xiaofeng Ren ............................................... 201 Rare Events, Action Minimization, and Sharp Interface Limits Maria G. Westdickenberg .................................... 217 The Gauss - Green Theorem for Weakly Differentiable Vector Fields William P. Ziemer .......................................... 233