Results 141 to 150 of about 1,002 (168)
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Nonstandard Palais-Smale conditions
2007We present nonstandard versions of the Palais-Smale condition (PS) below, some of them generalizations, but still sufficient to prove Mountain Pass Theorems, which are quite important in Critical Point Theory.
Natália Martins, Vítor Neves
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2014
In this section we prove a Palais–Smale condition for minimizing sequences of blowup solutions to the defocusing energy-critical NLS. It was already observed in [5, 13] that such minimizing sequences have good tightness and equicontinuity properties.
Herbert Koch +2 more
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In this section we prove a Palais–Smale condition for minimizing sequences of blowup solutions to the defocusing energy-critical NLS. It was already observed in [5, 13] that such minimizing sequences have good tightness and equicontinuity properties.
Herbert Koch +2 more
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Note on a function satisfying Palais–Smale condition
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Poincaré inequality and Palais–Smale condition for the p-Laplacian
Calculus of Variations and Partial Differential Equations, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Drábek, Pavel, Takáč, Peter
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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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On resonance Hamiltonian systems without the Palais–Smale condition
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Limit Cases of the Palais-Smale Condition
1990Condition (P.-S.) may seem rather restrictive. Actually, as Hildebrandt [4; p. 324] records, for quite a while many mathematicians felt convinced that inspite of its success in dealing with one-dimensional variational problems like geodesics (see Birkhoff’s Theorem I.4.4, for example, or Palais’ [3] work on closed geodesics), the Palais-Smale condition
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Equilibrium Problems Via the Palais-Smale Condition
2006Inspired by some results from nonsmooth critical point theory, we propose in this paper to study equilibrium problems by means of a general Palais-Smale condition adapted to bifunctions. We introduce the notion of critical points for equilibrium problems and we give some existence results for (EP) with lack of compacity.
Ouayl Chadli, Zaki Chbani, Hassan Riahi
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Ehresmann Fibrations and Palais-Smale Conditions for Morphisms of Finsler Manifolds
The Annals of Mathematics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Palais-Smale condition for chiral fields
2020It is considered the problem of critical points for the functional \(f(u)\), \(u\in E\) on the surface \(\{u\in E: F(u)= 0\}\) with essentially nonlinear \(F: E\to E_1\). In a variational formulated case of the problem of spherical fields in the bounded domains a Palais-Smale compactness condition is proved.
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