Higher-Dimensional Catenoid, Liouville Equation, and Allen–Cahn Equation-Reference-Cited by-同舟云学术

Higher-Dimensional Catenoid, Liouville Equation, and Allen–Cahn Equation

Published:2016-01-07 Issue: Volume: Page:rnv350
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:Int Math Res Notices

Author:

Agudelo Oscar,del Pino Manuel,Wei Juncheng

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2016/23/7051/8287180/rnv350.pdf

Reference26 articles.

1. Solutions with multiple catenoidal ends to the Allen–Cahn equation in R3

2. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening;Allen;Acta Metallurgica,1979

3. Some Interior Regularity Theorems for Minimal Surfaces and an Extension of Bernstein's Theorem

4. Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi

5. Sur une theoreme de geometrie et ses applications aux equations derivees partielles du type elliptique;Bernstein;Communications of the Kharkov Mathematical Society,1915–1917

Cited by 11 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. From Liouville equation to lump solutions of the 2+1 Toda lattice;Journal of Differential Equations;2024-12

2. k-ended O(m)×O(n) invariant solutions to the Allen-Cahn equation with infinite Morse index;Journal of Functional Analysis;2022-09

3. Doubling construction for O(m)×O(n) invariant solutions to the Allen–Cahn equation;Nonlinear Analysis;2022-03

4. Singular solutions of Toda system in high dimensions;Discrete and Continuous Dynamical Systems;2022

5. Recent progress on stable and finite Morse index solutions of semilinear elliptic equations;Electronic Research Archive;2021