Results 61 to 70 of about 486 (163)
On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]
, 2006 We consider the nonlinear eigenvalue problem $-{\rm div}(|\nabla u|^{p(x)-2}\nabla u)=\lambda |u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded open set in $\RR^N$ with smooth boundary and $p$, $q$ are continuous ...
Mihailescu, Mihai, Radulescu, Vicentiu
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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
The strong Ekeland variational principle
Journal of Mathematical Analysis and Applications, 2006 The main purpose of the present paper is to establish an extension of Ekeland's variational principle. The author is mainly concerned with quasiconvex proper and lower semicontinuous functions defined on a reflexive Banach space. In the last part of the paper this result is generalized in the framework of compact metric spaces endowed with a \(\tau ...
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General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics
Journal of Optimization Theory and Applications, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai, Le Phuoc +2 more
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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
O Teorema da aplicação inversa de Ekeland em espaços de Fréchet [PDF]
, 2022 In this work, we study the Ekeland's inverse function theorem in Fr echet spaces, that was published by Ekeland [8] in 2011. Initially, we present an inverse function theorem in Banach spaces (that is more general than the classical inverse function ...
Maia, Joémerson de Oliveira
core
On Inverse Function Theorems for Set-Valued Maps [PDF]
, 1984 We prove several equivalent versions of the inverse function theorem: an inverse function theorem for smooth maps on closed subsets, one for set-valued maps, a generalized implicit function theorem for set-valued maps.
Aubin, J.-P., Frankowska, H.
core
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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Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints [PDF]
, 2003 We consider optimal control problems for hyperbolic systems with controls in Neumann boundary conditions with pointwise (hard) constraints on control and state functions. Focusing on hyperbolic dynamics governed by the multidimensional wave equation with
Mordukhovich, Boris S +1 more
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Electronic Journal of Differential Equations, 2021 In this article, we consider the multiplicity of solutions for nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
Lan-Xin Huang +2 more
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