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Mountain pass theorems without Palais–Smale conditions
Journal of Mathematical Sciences, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A VARIANT OF THE MOUNTAIN-PASS THEOREM
2013An existence result for a critical point of mountain-pass type, where the classical Palais-Smale condition is not required, is presented. A multiple-critical-point result is then obtained As an application, the existence of two positive classical solutions for two-point boundary-value problems, without assuming any asymptotic condition on the ...
BONANNO, Gabriele, D'AGUI', GIUSEPPINA
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Mountain Pass Theorems, Deformation Theorems, and Palais-Smale Conditions
2001Let E be a Banach space, X ⊂ E be an open subset, f ∈ C 1 (X, R) be a functional and $$\begin{array}{*{20}{c}} {K = \left\{ {x \in X:f'\left( x \right) = 0} \right\},} \\ {{K_c} = \left\{ {x \in X:f\left( x \right) = c,f'\left( x \right) = 0} \right\}} \end{array}$$ are the sets of critical points of f.
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
Nature Machine Intelligence, 2021Lu Lu, Pengzhan Jin, Guofei Pang
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The Mountain Pass Theorem and Critical Points of Saddle Type
2002In Chapter 9 we shall continue the investigation of the L p solutions of the Hammerstein integral equations under the assumption that f (x, 0) = 0, that is, the null function is a solution. We are now interested in non-null solutions. The technique we use is based on the so called mountain pass theorem of Ambrosetti-Rabinowitz [3].
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Efficient electrosynthesis of n-propanol from carbon monoxide using a Ag–Ru–Cu catalyst
Nature Energy, 2022Xue Wang, Pengfei Ou, Adnan Ozden
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Assembly and Maintenance of Lipids at the Bacterial Outer Membrane
Chemical Reviews, 2021Daniel E Kahne, Natividad Ruiz
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