A compression type mountain pass theorem in conical shells
Copyright policy )A compression type mountain pass theorem in conical shells
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 \((I-JE')(K)\subset K\), where \(J:X'\to X\) is the canonical isomorphism. Let \[ K_{R_0R_1}=\{u\in K: \| u\| \geq R_0,\;| u| \leq R_1\} \] where \(00\) with \(| u_0|
- Babeș-Bolyai University Romania
Applied Mathematics, Compression, critical point, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Positive solutions to nonlinear boundary value problems for ordinary differential equations, cone, Mountain pass lemma, compression, Critical point, Positive solution, positive solution, mountain pass lemma, Cone, Analysis
Applied Mathematics, Compression, critical point, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Positive solutions to nonlinear boundary value problems for ordinary differential equations, cone, Mountain pass lemma, compression, Critical point, Positive solution, positive solution, mountain pass lemma, Cone, Analysis
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