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Campbell Systematic Reviews, Volume 20, Issue 1, March 2024.Abstract Background Healthy after‐school activities such as participation in organised sport have been shown to serve as important resources for reducing school failure and other problem/high‐risk behaviour. It remains to be established to what extent organised sport participation has positive impacts on young people in unstable life circumstances ...
Trine Filges +3 more
wiley +1 more source
Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
wiley +1 more source
Relative Entropy and Variational Properties of Generalized Gibbsian Measures [PDF]
, 2004 We study the relative entropy density for generalized Gibbs measures. We first show its existence and obtain a familiar expression in terms of entropy and relative energy for a class of “almost Gibbsian measures” (almost sure continuity of conditional ...
Ny, Arnaud Le, +12 more
core +2 more sources
Multiple Solutions for a Singular Quasilinear Elliptic System
The Scientific World Journal, 2013 We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system , , , , , where , , , , , . The functions , , , , , , and satisfy some suitable conditions. We will prove that the problem has at least two nontrivial
Lin Chen, Caisheng Chen, Zonghu Xiu
doaj +1 more source
A consequence of Djairo’s Lectures on the Ekeland variational principle [PDF]
, 2017 In this paper we prove that if a functional has bounded minimum u, then is is possible, using Ekeland’s ε-variational principle, to build a minimizing sequence which is uniformly convergent to ...
Boccardo L., Orsina L.
core +1 more source
On the structure of minimizers of causal variational principles in the non-compact and equivariant settings [PDF]
, 2012 We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries.
Finster, Felix, Bernard, Yann
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Stochastic singular optimal control problem of switching systems with constraints
Journal of Inequalities and Applications, 2016 This paper is devoted to the optimal control problem of switching system in which constraints on the state variable are given by inclusions. Using Ekeland’s variational principle, second-order necessary condition of optimality for stochastic switching ...
Charkaz Aghayeva
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A generalized Ekeland’s variational principle for vector equilibria [PDF]
, 2019 In this paper, we establish an Ekeland-type variational principle for vector valued bifunctions defined on complete metric spaces with values in locally convex spaces ordered by closed convex cones.
MIHOLCA, Mihaela
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Fixed point theorems in metric spaces and probabilistic metric spaces
International Journal of Mathematics and Mathematical Sciences, 1996 In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to ...
Yeol Je Cho +2 more
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Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain.
Xiaofei Cao, Junxiang Xu
doaj +1 more source