Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495912 | Journal of Functional Analysis | 2005 | 19 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ryuji Kajikiya,