The general variational principle
General Comparison Principle for Variational Hemivariational Inequalities
... for variational-hemivariational inequalities with or without the method of sub- and supersolutions have been obtained under different structure and regularity conditions on the nonlinear functions by various ...
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Variational Principle in an Expanding Universe
... 6. Conclusions It is evident in this paper that the idea of the universe structured in fundamental terms on a basic Field Ξ U ≡ ( Ξ , Ξ ), doesn’t oppose to the actual model of un- iverse. Rather it tries to resolve some ...
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Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle
... problem principle in finite- as well as in infinite-dimensional Hilbert space settings, on the approximation-solvability of var- ious classes of variational inequalities and complementarity problems, ...
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Onsager's variational principle in soft matter
... Rayleigh’s principle of the least energy dissipation to general irreversible ...this variational principle gives us a very convenient framework for deriving many established equations which ...
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Nodal variational principle for excited states
... are general, the difficulty is that their applications to many-electron systems require flexible and robust numerical representations of the multidimensional ...
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On the Crucial Role of the Variational Principle in Quantum Theories
... 84). A general discussion of this topic is presented in pp. 1-6 of [4]. Let A B , denote two physical theories and D D A , B denote their domain of validity, respectively. If D A ⊂ D B then these domains of ...
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Auxiliary principle and fuzzy variational like inequalities
... of variational inequalities have potential and significant applications in op- timization theory [16, 17], structural analysis [14] and economics [5, ...mixed variational-like inequalities have been studied ...
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Vectorial form of Ekeland-type variational principle
... Ekeland’s variational principle related to equilibrium ...Ekeland-type variational principles in the setting of quasi-metric spaces with a ...tor variational principle for monotonically ...
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Auxiliary principle for generalized nonlinear variational like inequalities
... Introduction Variational inequality theory has become a very effective and powerful tool for studying a wide range of problems arising in many diverse fields of pure and applied ...in variational inequality ...
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ENERGETIC VARIATIONAL APPROACH IN COMPLEX FLUIDS: MAXIMUM DISSIPATION PRINCIPLE
... ENERGETIC VARIATIONAL APPROACH IN COMPLEX FLUIDS : MAXIMUM DISSIPATION PRINCIPLE ∗ ...the general energetic variational approaches for hydrodynamic systems of complex ...energetic ...
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ENERGETIC VARIATIONAL APPROACH IN COMPLEX FLUIDS : MAXIMUM DISSIPATION PRINCIPLE
... ENERGETIC VARIATIONAL APPROACH IN COMPLEX FLUIDS : MAXIMUM DISSIPATION PRINCIPLE ∗ ...the general energetic variational approaches for hydrodynamic systems of complex ...energetic ...
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Critical Point Theorems and Ekeland Type Variational Principle with Applications
... spaces with a Q-function which generalizes the notions of τ -function 17 and a w-distance 8. They proved some equivalences of EEVP with a fixed point theorem of Caristi-Kirk type for multivalued maps 12, Takahashi’s ...
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Parallel time-dependent variational principle algorithm for matrix product states
... in general exponentially hard, many physically interesting, slightly entangled states can be efficiently sim- ulated using tensor network methods [ 1 – 3 ]; in particular, those obeying an entanglement “area law” ...
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Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational Like Inequalities
... new variational inequalities and variational-like inequalities as special cases of ...the general framework of the generalized strongly nonlinear mixed variational-like inequality, which is ...
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A Generalized Variational Principle with Applications to Excited State Mean Field Theory.
... approach general by ensur- ing that any such open-shell correlation can be captured and does not increase the cost scaling compared to using a single pair of determinants, we opt for the wave func- tion above as ...
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Quantum Variational Principle and quantum multiform structure: the case of quadratic Lagrangians
... quadrilateral lattice equations and higher-rank systems, using non-ultralocal R matrix structures, was already established some while ago [15,16], as well as for a quantum lattice Hirota type system [17], cf. also [18]. ...
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SOLVABILITY OF EXTENDED GENERAL MIXED VARIATIONAL INEQUALITIES
... extended general mixed variational in- ...auxiliary principle technique to study the existence of a solution of the extended general mixed variational ...
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General variational inclusions involving difference of operators
... In recent years, several numerical methods including projection and its variant forms, resolvent equations, and auxiliary principle techniques have been developed. This class of iterative methods has witnessed ...
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General Quadratic Risk Minimization: a Variational Approach
... powerful variational approach essentially due to Rockafellar [ 31 ], which gives a systematic approach for solving convex optimization problems of great ...this variational approach is the key thing for ...
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Variational principle for the Kirkwood theory for the dynamics of polymer solutions and suspensions Masao Doi
... The general theory of Kirkwood for the dynamics of polymer solutions and suspensions is reformulated in the form of a variational principle.. This formulation is analogous to Lagrangian[r] ...
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