Separation of variables in equations of mean-curvature type
Published online by Cambridge University Press: 01 July 2016
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
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 5 , October 2016 , pp. 1017 - 1035
- Copyright
- Copyright © Royal Society of Edinburgh 2016
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