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Saddle point solutions for non-local elliptic operators (1210.8401v3)
Published 31 Oct 2012 in math.AP
Abstract: The paper deals with equations driven by a non-local integrodifferential operator $\mathcal L_K$ with homogeneous Dirichlet boundary conditions. These equations have a variational structure and we find a solution for them using the Saddle Point Theorem.