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arxiv: 1210.8401 · v3 · pith:LX2CE7WYnew · submitted 2012-10-31 · 🧮 math.AP

Saddle point solutions for non-local elliptic operators

classification 🧮 math.AP
keywords equationsnon-localpointsaddleboundaryconditionsdealsdirichlet
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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.

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