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Average Topological Pressure and a Variational Principle
In this paper, we define a new version of topological pressure, called average topological pressure , for dynamical systems. We present some of its...
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The Variational Principle for the Packing Entropy of Nonautonomous Dynamical Systems
Let ( X, ϕ ) be a nonautonomous dynamical system. In this paper, we introduce the notions of packing topological entropy and measure-theoretical upper...
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Ekeland’s variational principle for interval-valued functions
In this paper, we attempt to propose Ekeland’s variational principle for interval-valued functions (IVFs). To develop the variational principle, we...
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Variational Principle for Non-additive Neutralized Bowen Topological Pressure
Ovadia and Rodriguez-Hertz (Neutralized local entropy and dimension bounds for invariant measures. ar**v:2302.10874v2 ) defined the neutralized Bowen...
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An unified scalarization and Ekeland’s variational principle for partial set order
This paper is devoted to the study of scalarization and Ekeland’s variational principle for a partial set order relation, which is defined by...
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A Variational Principle of the Topological Pressures for Non-autonomous Iterated Function Systems
In this paper, the definitions of measure-theoretic pressures, Pesin–Pitskel topological pressures and weighted topological pressures are introduced...
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Variational principle for BS-dimension of subsets of finitely generated free semigroup actions
We consider a topological dynamical system under the action of a finitely generated free semigroup. Using the Carathéodory structure, we define...
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Tail variational principle and asymptotic h-expansiveness for amenable group actions
In this paper we prove the tail variational principle for actions of countable amenable groups. This allows us to extend some characterizations of...
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Ekeland variational principle on quasi-weighted graphs: improving the work–family balance
We prove a new minimization theorem in weighted graphs endowed with a quasi-metric distance, which improves the graphical version of the Ekeland...
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The Local Variational Principle of Weighted Entropy and Its Applications
The notions of local weighted topological entropy and local weighted measure-theoretic entropy are defined. Some properties of the local weighted...
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Variational principle for some nonlinear problems
A variational principle is established by the semi-inverse method and used to solve approximately a nonlinear problem by the Ritz method. In this...
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On the Construction of a Variational Principle for a Certain Class of Differential-Difference Operator Equations
In this paper, we obtain necessary and sufficient conditions for the existence of variational principles for a given first-order...
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On Chien’s question to the Hu-Washizu three-field functional and variational principle
There is an open question, namely Chien’s question, in construction of a generalized functional in elasticity, i.e., why the stress-strain relation...
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Variational Principles
The term ‘variational principle’, which was formerly attached to laws of nature asserting that some quantity is minimized, is now used to describe...
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General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics
We establish general versions of the Ekeland variational principle (EVP), where we include two perturbation bifunctions to discuss and obtain better...
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Variational maximum principle for elliptic systems involving the fractional Laplacian
It is the aim of this note is to develop a maximum principle for elliptic systems involving the fractional Laplacian under minimal assumptions on the...
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Group invariant variational principles
In this paper we introduce a group invariant version of the well-known Ekeland variational principle. To achieve this, we define the concept of...