Results 71 to 80 of about 1,002 (168)
The Palais-Smale Condition And Mañé's Critical Values
, 1999 Let L be a convex superlinear autonomous Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as dened by R. Ma~ne in [23].
Gonzalo Contreras +3 more
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The Palais-Smale condition for the energy of some semilinear parabolic equations [PDF]
, 2000 In this paper we show that all the global solutions for some semilinear parabolic equations naturally contain a Palais-Smale sequence as a subsequence and then we apply a global compactness result due to Struwe [16] to the Palais-Smale sequence ...
Ikehata, Ryo
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Ground-state solutions of a Hartree–Fock type system involving critical Sobolev exponent
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, ground-state solutions to a Hartree–Fock type system with a critical growth are studied. Firstly, instead of establishing the local Palais–Smale (P.-S.) condition and estimating the mountain-pass critical level, a perturbation method is ...
Xiaoli Zhu, Zushun Min
doaj +1 more source
Polytope Novikov homology. [PDF]
J Fixed Point Theory Appl, 2021 Pellegrini A.
europepmc +1 more source
Erratum to: "On a functional satisfying a weak Palais-Smale condition"
Discrete and Continuous Dynamical Systems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Entropy (Basel), 2021 Mawhin J +2 more
europepmc +1 more source
Existence result for the CR-Yamabe equation
Bruno Pini Mathematical Analysis Seminar, 2013 In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we ...
Vittorio Martino
doaj
Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution and also infinitely many homoclinic solutions for the second order Hamiltonian system $$ \ddot{u}-a(t)|u|^{p-2}u+\nabla W(t,u)=0,\qquad t\in \mathbb{R}, $
Yiwei Ye
doaj +1 more source
Palais-Smale condition for chiral fields
, 1999 The well known condition of compactness entered by R. Palais and S. Smale| - condition (C) - can be proved traditionally in rare cases, especially if it is considered the problem about critical points for functional f(u), u ∊ E on the surface {u ∊ E : F ...
Suvorov, S.G.
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A note on Palais-Smale condition in the sense of Szulkin
Differential and Integral Equations, 1993 It has been observed [\textit{L. Caklovic}, \textit{Sh. Li} and \textit{M. Willem}, Differ. Integral Equ. 3, No. 4, 799-800 (1990; see the review above)] that, for a Gâteaux differentiable lower semicontinuous function bounded from below on a Banach space, the Palais-Smale condition implies coercivity.
openaire +3 more sources