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 |
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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)