Abstract
We consider the equation -u" = g(u), u(x) ∈ H1(R). (0.1) Under general assumptions on the nonlinearity g we prove that the, unique up to translation, solution of (0.1) is at the mountain pass level of the associated functional. This result extends a corresponding result for least energy solutions when (0.1) is set on RN.
| Original language | English |
|---|---|
| Pages (from-to) | 445-455 |
| Number of pages | 11 |
| Journal | Advanced Nonlinear Studies |
| Volume | 3 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2003 |
Keywords
- Least energy solution
- Mountain pass characterization
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematics(all)
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Cite this
Jeanjean, L., & Tanaka, K. (2003). A note on a mountain pass characterization of least energy solutions. Advanced Nonlinear Studies, 3(4), 445-455. https://doi.org/10.1515/ans-2003-0403