TY - JOUR
T1 - A note on a mountain pass characterization of least energy solutions
AU - Jeanjean, Louis
AU - Tanaka, Kazunaga
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
KW - Least energy solution
KW - Mountain pass characterization
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U2 - 10.1515/ans-2003-0403
DO - 10.1515/ans-2003-0403
M3 - Article
AN - SCOPUS:20144362610
SN - 1536-1365
VL - 3
SP - 445
EP - 455
JO - Advanced Nonlinear Studies
JF - Advanced Nonlinear Studies
IS - 4
ER -