We study a mountain pass characterization of least energy solutions of the following nonlinear scalar field equation in RN -δu = g(u), u ∈ H1(RN), where N ≥ 2. Without the assumption of the monotonicity of t → g(t)/t, we show that the mountain pass value gives the least energy level.
- Least energy solutions
- Mountain pass theorem
- Nonlinear elliptic equations in R
ASJC Scopus subject areas
- Applied Mathematics