Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling-Reference-Cited by-同舟云学术

Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling

Published:2014-04 Issue:5 Volume:39 Page:946-1005
ISSN:0360-5302
Container-title:Communications in Partial Differential Equations
language:en
Short-container-title:Communications in Partial Differential Equations

Author:

Berlyand Leonid,Mironescu Petru,Rybalko Volodymyr,Sandier Etienne

Funder

The work of LB was supported by NSF grant DMS-1106666. The work of VR was partially supported by NSF grant DMS-1106666. PM was supported by the ANR project ANR-12-BS01-0013-03.

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Link

http://www.tandfonline.com/doi/pdf/10.1080/03605302.2013.851214

Reference40 articles.

1. Dual variational methods in critical point theory and applications

2. A GENERAL WAVELET-BASED PROFILE DECOMPOSITION IN THE CRITICAL EMBEDDING OF FUNCTION SPACES

3. On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

4. Nonexistence of Ginzburg–Landau minimizers with prescribed degree on the boundary of a doubly connected domain

5. Ginzburg–Landau minimizers with prescribed degrees. Capacity of the domain and emergence of vortices

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold;Archive for Rational Mechanics and Analysis;2021-08-20

2. Renormalized energies for unit-valued harmonic maps in multiply connected domains;Asymptotic Analysis;2021-06-09

3. Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains;Mathematische Annalen;2021-05-20

4. Minimizing 1/2-harmonic maps into spheres;Calculus of Variations and Partial Differential Equations;2020-02-15

5. On energy-critical half-wave maps into $${\mathbb {S}}^2$$ S 2;Inventiones mathematicae;2018-01-18