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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… Expand
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Related topics

Related topics

5 relations

Broader (1)

Calculus of variations
Fréchet derivativeGâteaux derivativeHilbert spaceMountain pass theorem

Papers overview

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Highly Cited
2015
Highly Cited
2015
Object Detection in Optical Remote Sensing Images Based on Weakly Supervised Learning and High-Level Feature Learning
The abundant spatial and contextual information provided by the advanced remote sensing technology has facilitated subsequent… Expand
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Highly Cited
2015
Highly Cited
2015
Time-Varying and Multiresolution Envelope Analysis and Discriminative Feature Analysis for Bearing Fault Diagnosis
This paper presents a reliable fault diagnosis methodology for various single and multiple combined defects of low-speed rolling… Expand
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Highly Cited
2010
Highly Cited
2010
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… Expand
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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… Expand
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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… Expand
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Highly Cited
1998
Highly Cited
1998
Quantitative trait loci for grain quality, productivity, morphological and agronomical traits in sorghum (Sorghum bicolor L. Moench)
Abstract Quantitative trait loci (QTLs) for grain quality, yield components and other traits were investigated in two Sorghum… Expand
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Highly Cited
1996
Highly Cited
1996
Bubble tree convergence for harmonic maps
Let Σ be a compact Riemann surface. Any sequence fn : Σ — > M of harmonic maps with bounded energy has a "bubble tree limit… Expand
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Highly Cited
1991
Highly Cited
1991
The scalar-curvature problem on the standard three-dimensional sphere
The present invention discloses a method of producing large-scale recombinant adeno-associated virus stocks by infection of cells… Expand
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Highly Cited
1985
Highly Cited
1985
An existence result for nonlinear elliptic problems involving critical Sobolev exponent
Abstract In this paper we consider the following problem: (1) { − Δ u − λ u = | u | 2 ⁎ − 2 ⋅ u u = 0 on ∂ Ω 2 ⁎ = 2 n / ( n − 2… Expand
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Highly Cited
1975
Highly Cited
1975
Conservative dynamical systems involving strong forces
We consider conservative dynamical systems associated with potentials V which have singularities at a set S: V(x) a as x -:+ S… Expand
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