Results 181 to 190 of about 1,440 (207)

Mountain pass theorems without Palais–Smale conditions

Journal of Mathematical Sciences, 2009
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A Generalized Mountain Pass Theorem

2020
2010 Mathematics Subject Classification: 58E05, 58E30.
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A VARIANT OF THE MOUNTAIN-PASS THEOREM

2013
An 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

2001
Let 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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A Mountain Pass Theorem and Moduli Space of Minimal Immersions

The Journal of Geometric Analysis
Given two Banach spaces \(X\) and \(Y\), the author considers functionals \(\mathcal{A}\colon X\times Y\to \mathbb{R}\) of class \(C^1\) which satisfy certain conditions, including that partial maps \(\mathcal{A}(u,\cdot)\) admit a unique minimum for each \(u\in X\), and a weak Palais-Smale condition.
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Mountain Pass Theorem

2022
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The Mountain Pass Theorem and Critical Points of Saddle Type

2002
In 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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An Application of the Mountain Pass Theorem

2022
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Mountain pass theorem

2008
Marius Ghergu, Vicenţiu D Rădulescu
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Cerami (C) condition and mountain pass theorem for multivalued mappings

2002
Summary: We prove a general minimax result for a multivalued mapping. As an application, we give existence results on critical points of this mapping which satisfy the Cerami (C) condition.
Kristály, A., Varga, Cs.
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