Results 61 to 70 of about 200 (141)
Polytope Novikov homology. [PDF]
J Fixed Point Theory Appl, 2021 Pellegrini A.
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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.
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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
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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
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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
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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
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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
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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
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Khovanov homotopy type, periodic links and localizations. [PDF]
Math Ann, 2021 Borodzik M, Politarczyk W, Silvero M.
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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.
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