Title of article :
A critical point theorem related to the symmetric
mountain pass lemma and its applications to
Ryuji Kajikiya، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
For an even functional on a Banachspace, 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.
© 2005 Elsevier Inc. All rights reserved.
Symmetric mountain pass lemma , Variational method , Semilinearelliptic equation , Critical point theorem
Journal title :
Journal of Functional Analysis