- Title
- On the extrema of a nonconvex functional with double-well potential in 1D
- Creator
- Gao, David; Lu, Xioajun
- Date
- 2016
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100993
- Identifier
- vital:10630
- Identifier
- ISSN:00442275 (ISSN)
- Abstract
- This paper mainly investigates the extrema of a nonconvex functional with double-well potential in 1D through the approach of nonlinear differential equations. Based on the canonical duality method, the corresponding Euler–Lagrange equation with Neumann boundary condition can be converted into a cubic dual algebraic equation, which will help find the local extrema for the primal problem. © 2016, Springer International Publishing.
- Publisher
- Birkhauser Verlag AG
- Relation
- Zeitschrift fur Angewandte Mathematik und Physik Vol. 67, no. 3 (2016), p. 1-7
- Rights
- Copyright © 2016, Springer International Publishing.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0105 Mathematical Physics; Canonical duality theory; Multiple solutions; Nonconvex variational problem
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