Frontiers of Mathematics in China

, Volume 3, Issue 2, pp 195–204

Hamiltonian constants for several new entire solutions

  • Changfeng Gui
Research Article

DOI: 10.1007/s11464-008-0012-2

Cite this article as:
Gui, C. Front. Math. China (2008) 3: 195. doi:10.1007/s11464-008-0012-2
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Abstract

Using the Hamiltonian identities and the corresponding Hamiltonian constants for entire solutions of elliptic partial differential equations, we investigate several new entire solutions whose existence were shown recently, and show interesting properties of the solutions such as formulas for contact angles at infinity of concentration curves.

Key words

Hamiltonian identityYoung’s lawSchrodinger equationAllen-Cahn equationperiod solutioncontact angle

MSC

35J1535J2035J6035J65

Copyright information

© Higher Education Press 2008

Authors and Affiliations

  • Changfeng Gui
    • 1
    • 2
  1. 1.School of MathematicsHunan UniversityChangshaChina
  2. 2.Department of Mathematics, U-9University of ConnecticutStorrsUSA