Hostname: page-component-7c8c6479df-hgkh8 Total loading time: 0 Render date: 2024-03-28T13:00:16.850Z Has data issue: false hasContentIssue false

Separation of variables in equations of mean-curvature type

Published online by Cambridge University Press:  01 July 2016

Rafael López*
Affiliation:
Departamento de Geometría y Topología and Instituto de Matemáticas (IEMath-GR), Universidad de Granada, 18071 Granada, Spain (rcamino@ugr.es)

Extract

We obtain all the solutions of types u(x, y) = f(x) + g(y) and u(x, y) = f(x)g(y) for three known mean-curvature-prescribed equations, namely, the capillary equation, the translating soliton equation and the two-dimensional analogue of the catenary.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)