Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 131, Issue 8, Pages 2399-2408Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-02-06821-1
Keywords
nonlinear elliptic equations in R-N; least energy solutions; mountain pass theorem
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We study a mountain pass characterization of least energy solutions of the following nonlinear scalar field equation in R-N: -Deltau = g(u), u is an element of H-1(R-N), where N greater than or equal to 2. Without the assumption of the monotonicity of t bar right arrow g(t)/t, we show that the mountain pass value gives the least energy level.
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