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Open Access Publications from the University of California

Sign-changing critical points via Sandwich Pair theorems

  • Author(s): Chen, L
  • Schechter, M
  • Zou, W
  • et al.

The Sandwich Pair theorems have presented very efficient ways to determine the existence of critical points or critical sequences for nonlinear differentiable functionals. In this paper, under rather weak hypotheses new relationships are established between sign-changing critical points and Sandwich Pairs or Linking Sandwich Pairs. The abstract results are demonstrated by applications on semi-linear elliptic equations. © 2013 Elsevier Ltd. All rights reserved.

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