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
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
Global hyperbolicity and Palais–Smale condition for action functionals in stationary spacetimes
Advances in Mathematics, 2008 In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are commonly used: pseudo-coercivity, bounds on certain coefficients of the metric, etc.
CANDELA, Anna Maria +2 more
openaire +3 more sources
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
Periodic Solutions of Classical Hamiltonian Systems without Palais–Smale Condition
Journal of Mathematical Analysis and Applications, 2002 The authors consider the second order Hamiltonian system \(\ddot{u}+V_u(t,u)=0\) where \(V:\mathbb R\times\mathbb R^N\rightarrow\mathbb R\) is \({\mathcal{C}}^2\), \(T\)-periodic in \(t\), and \(V_u\) is globally bounded. Further conditions on \(V\) for \(|u|\rightarrow\infty\) are not required.
Fei, Guihua +2 more
openaire +2 more sources
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
On new critical point theorems without the Palais–Smale condition
Egyptian Journal of Basic and Applied Sciences, 2016 AbstractIn this paper we prove new theorems on critical point theory based on the weak Ekeland's variational principle.
Briki, Mabrouk +2 more
openaire +1 more source
Khovanov homotopy type, periodic links and localizations. [PDF]
Math Ann, 2021 Borodzik M, Politarczyk W, Silvero M.
europepmc +1 more source
Asymmetric superlinear problems under strong resonance conditions
Electronic Journal of Differential Equations, 2017 We study the existence and multiplicity of solutions of the problem $$\displaylines{ -\Delta u = -\lambda_1 u^- + g(x,u),\quad \text{in } \Omega; \cr u = 0, \quad \text{on } \partial\Omega, }$$ where $\Omega$ is a smooth bounded domain in $\mathbb{R ...
Leandro Recova, Adolfo J. Rumbos
doaj