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Existence Solution for a Non-smooth System [PDF]
Mathematics Interdisciplinary ResearchA variational method for a mixed boundary value problem in mathematical physics is considered. Using two-field Lagrange multipliers, we would investigate a variational formulation containing a mixed variational problem which is equivalent with a ...
Maisam Alizadeh +2 more
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A posteriori error covariances in variational data assimilation [PDF]
, 2009 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find some unknown parameters of the model.
Le Dimet, F.X. +5 more
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A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]
, 2008 The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
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On a Volume-Constrained Variational Problem [PDF]
Archive for Rational Mechanics and Analysis, 1999 Let \(W\colon {\mathbb R}^{d\times N}\to[0,+\infty[\) be a \(C^1\) quasiconvex function with \(p\) growth, \(p>1\), and such that \[ \sum_{i,j=1}^d\sum_{k=1}^N{\partial W\over\partial\xi_{ik}}(\xi)\xi_{jk}v^iv^j > 0\text{ whenever }\xi^Tv\not=0,\;\xi\in{\mathbb R}^{d\times N},\;v\in S^{d-1}, \] where \(S^{d-1}\) is the unit sphere in \({\mathbb R}^d\).
L. AMBROSIO +3 more
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Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities
Abstract and Applied Analysis, 2013 We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong +3 more
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Variations on the Sum-Product Problem [PDF]
SIAM Journal on Discrete Mathematics, 2015 This paper considers various formulations of the sum-product problem. It is shown that, for a finite set $A\subset{\mathbb{R}}$, $|A(A+A)|\gg{|A|^{\frac{3}{2}+\frac{1}{178}}},$ giving a partial answer to a conjecture of Balog. In a similar spirit, it is established that $|A(A+A+A+A)|\gg{\frac{|A|^2}{\log{|A|}}},$ a bound which is optimal up to constant
Brendan Murphy +2 more
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Наука и техника, 2022 . Many important questions in the theory of elasticity lead to a variational problem associated with a biharmonic equation and to the corresponding boundary value problems for such an equation.
I. N. Meleshko, P. G. Lasy
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A New System of Multivalued Mixed Variational Inequality Problem
Abstract and Applied Analysis, 2014 We consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases.
Xi Li, Xue-song Li
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A note on a second order PDE with critical nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this work, we are interested in a nonlinear PDE of the form: $-\Delta u = K(x) u^\frac{n+2}{n-2}, u>0$ on $\Omega$ and $u=0$ on $\partial\Omega$, where $n\geq 3$ and $\Omega$ is a regular bounded domain of $\mathbb{R}^n$.
Khadijah Sharaf
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Variational Estimation Methods for Sturm–Liouville Problems
Mathematics, 2022 In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
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