Noncooperative elliptic systems

Schechter, Martin

doi:10.1007/s00033-010-0108-x

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“…Unlike linking, the order of sets in a sandwich pair is immaterial, and intersection of them is also allowed. This approach soon enjoys both prosperity in abstract results [8,10,11] and efficiency in applications on differential equations [6,9]. The fundamental Sandwich Pairs Theorem in [11] states as Theorem 1.3.…”

Section: Introductionmentioning

confidence: 99%

Sign-changing critical points via Sandwich Pair theorems

Chen¹,

Schechter²,

Zou³

2013

Nonlinear Analysis: Theory, Methods & Applications

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Abstract. The Sandwich Pair theorems have presented very efficient ways to determine 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.

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