Results 121 to 130 of about 218 (139)
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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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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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Bounded Palais–Smale Sequences for Non-Differentiable Functions
Nonlinear Analysis: Theory, Methods & Applications, 2011Dumitru Motreanu
exaly
A Theorem About Representation of Palais–Smale Sequence and Its Applications
Nonlinear Analysis: Theory, Methods & Applications, 2004Yongqing Li
exaly
Bounded Palais-Smale Sequences for Functionals With a Mountain Pass Geometry
Archiv Der Mathematik, 2007Patrick J Rabier
exaly
A Palais–Smale Approach to Lane–Emden Equations
Journal of Mathematical Analysis and Applications, 2007Weichung Wang
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