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Hamiltonian identities for elliptic partial differential equations |
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| Authors: | Changfeng Gui |
| Affiliation: | a School of Mathematics, Hunan University, Changsha 410082, People's Republic of China b Department of Mathematics, U-9, University of Connecticut Storrs, CT 06269, USA |
| 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. |
| Keywords: | Hamiltonian identity Elliptic partial differential equations and systems Phase transition Level set Contact angle Saddle solutions Symmetry |
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