Hamiltonian identities for elliptic partial differential equations

By Changfeng Gui. 2008

72 citations recorded by the source corpus.

Abstract New identities for elliptic partial differential equations are obtained. Several applications are discussed. In particular, Young's law for the contact angles in triple junction formation is proven rigorously. Structure of level curves of saddle solutions to Allen–Cahn equation are also carefully analyzed.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d07c1ff02b1814da93cb64be4986e67b55fdab5d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jun-cheng Wei
2. Manuel del Pino
3. M. Kowalczyk
4. Frank Pacard
5. A. Malchiodi
6. Monica Musso
7. Angela Pistoia
8. Shusen Yan

In Computational Theory and Mathematics

1. Jun-cheng Wei
2. Manuel del Pino
3. Frank Pacard
4. M. Kowalczyk
5. A. Malchiodi
6. Monica Musso
7. Angela Pistoia
8. Shusen Yan

In Numerical Analysis

1. Jun-cheng Wei
2. Manuel del Pino
3. M. Kowalczyk
4. Frank Pacard
5. A. Malchiodi

Citations in the corpus

• Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. (2009, background): “It is worth mentioning that a balancing formula for the “ends” of level sets to the Allen-Cahn equation is available in R(2), see [18].”
• MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2 (2010, background): “But, according to [6] or [13], a solution of (1.”