Multiplicity theorems for the Dirichlet problem involving the p-Laplacian

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A three critical points theorem and its applications to the ordinary Dirichlet problem (2003, background): “Applications of Theorem A to nonlinear boundary value problems have been given in [2], [3], [4], [5], [ 6 ], [8], [12], [15], (see also [13] for the non smooth case), establishing multiplicity results for equations depending on a parameter ‚.”
Three solutions for a nonlocal Dirichlet boundary value problem involving the p(x)-Laplacian (2013, methodology): “In [39], Ricceri’s three critical points theorem has been successfully used to obtain existence of at least three weak solutions in W 1,p 0 ð Þ to the following problem:”