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Palais–Smale compactness condition

Known as: Palais-Smale, Palais-Smale compactness condition, Palais-Smale condition 
The Palais–Smale compactness condition, named after Richard Palais and Stephen Smale, is a hypothesis for some theorems of the calculus of variations… 
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Related topics

Related topics

5 relations

Broader (1)

Calculus of variations
Fréchet derivativeGâteaux derivativeHilbert spaceMountain pass theorem

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2016
Highly Cited
2016
A Hybrid Feature Selection Scheme for Reducing Diagnostic Performance Deterioration Caused by Outliers in Data-Driven Diagnostics
In practice, outliers, defined as data points that are distant from the other agglomerated data points in the same class, can… 
Highly Cited
2010
Highly Cited
2010
On superlinear problems without the Ambrosetti and Rabinowitz condition
Highly Cited
2010
Highly Cited
2010
Evolving fuzzy optimally pruned extreme learning machine for regression problems
This paper proposes an approach to the identification of evolving fuzzy Takagi–Sugeno systems based on the optimally pruned… 
Highly Cited
2009
Highly Cited
2009
Relative Pareto minimizers for multiobjective problems: existence and optimality conditions
In this paper we introduce and study enhanced notions of relative Pareto minimizers for constrained multiobjective problems that… 
Highly Cited
2007
Highly Cited
2007
Global Dynamics of the Brusselator Equations
In this work the existence of a global attractor for the solution semio w of the Brusselator equations is proved. A new… 
Highly Cited
2002
Highly Cited
2002
Generalized Bundle Methods
We study a class of generalized bundle methods for which the stabilizing term can be any closed convex function satisfying… 
Highly Cited
2000
Highly Cited
2000
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
We use variational methods to study the existence and multiplicity of solutions for the following quasi-linear partial… 
Highly Cited
1997
Highly Cited
1997
Effects of polymer dosage on alum sludge dewatering characteristics and physical properties
Highly Cited
1996
Highly Cited
1996
On the existence of sign changing solutions for semilinear Dirichlet problems
where Ω ⊂ R is a bounded domain with Lipschitz boundary and f : R → R is of class C with f(0) = 0. Thus u0 ≡ 0 is a trivial… 
Highly Cited
1980
Highly Cited
1980
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
A new and simpler proof is given of the result of P. Rabinowitz for nontrivial time periodic solutions of a vibrating string… 
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