Sign-changing critical points via Sandwich Pair theorems

Abstract

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.

Fractional p-Laplacian Equations with Sandwich Pairs

“…We can also highlight the works on solved quasilinear problems using cones as sandwich pairs [29,30]. See the works in [31][32][33].…”