期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 225, 期 2, 页码 352-370出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2005.04.005
关键词
symmetric mountain pass lemma; critical point theorem; variational method; semilinear elliptic equation
类别
For an even functional on a Banach space, the symmetric mountain pass lemma gives a sequence of critical values which converges to zero. Under the same assumptions on the functional, this paper establishes a new critical point theorem which provides a sequence of critical points converging to zero. The theorem is applied to sublinear elliptic equations. Then a sequence of solutions converging to zero is obtained. (c) 2005 Elsevier Inc. All rights reserved.
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