Article contents
Minimum action solutions of non-linear elliptic equations in unbounded domains containing a plane
Published online by Cambridge University Press: 14 November 2011
Synopsis
Let d ≧ 1 be an integer and ω ⊂ℝd a smooth bounded domain and consider the elliptic equation − Δu = g(u) on Ω = ℝ2 × ω. We prove that under (almost) necessary and sufficient conditions on the continuous function g: ℝm→ ℝm the above equation has a minimum-action solution.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 3-4 , 1986 , pp. 327 - 343
- Copyright
- Copyright © Royal Society of Edinburgh 1986
References
- 2
- Cited by