TY - JOUR
T1 - A remark on least energy solutions in RN
AU - Jeanjean, Louis
AU - Tanaka, Kazunaga
PY - 2003/8
Y1 - 2003/8
N2 - 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.
AB - 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.
KW - Least energy solutions
KW - Mountain pass theorem
KW - Nonlinear elliptic equations in R
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U2 - 10.1090/S0002-9939-02-06821-1
DO - 10.1090/S0002-9939-02-06821-1
M3 - Article
AN - SCOPUS:0041743811
SN - 0002-9939
VL - 131
SP - 2399
EP - 2408
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 8
ER -