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In 1978 Rabinowitz obtained the classical "Linking theorem", which is used to solve, for example the classical problem:

$$ \begin{cases} -\Delta u = \lambda u + |u|^{p-2}u, \Omega \\ u = 0, \partial \Omega \end{cases} $$ where $\lambda > \lambda_1$ (the first eigenvalue of $(-\Delta, H^1_0(\Omega))$.

Forgive me if this question is "dumb", but i'm beginner in variational methods. But I would like to know why this result from Rabinowitz gets its name and what exactly does it mean to say "establish a linking structure for the functional". I appreciate any help and any advice.

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