A compression type mountain pass theorem in conical shells
Journal of Mathematical Analysis and Applications, 2008 Let \(X\subset H\equiv H'\subset X'\) be the chain of two Hilbert spaces \(X\) and \(H\) with norms \(| \cdot | \) and \(\| \cdot \| \). Let \(0\neq K\subset X\) be a nonempty closed convex set such that \(\lambda u\in K\) \(\forall u\in K\) and \(\lambda\geq0\). The author studies critical points of a functional \(E\in C^1(X,\mathbb R) \) such that \((
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