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Calculus of Variation - Minimize a Functional

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#calculus #optimization #variational-analysis
164
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Stationary Condition of Variational Iteration Method

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#numerical-methods #functional-equations #fluid-dynamics #variational-analysis #stationary-point
480
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Existence and uniqueness of weak solutions to the homogeneous biharmonic equation.

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#boundary-value-problem #weak-derivatives #elliptic-operators #variational-analysis
109
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An example for a stable harmonic map which is not a local minimizer

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#reference-request #riemannian-geometry #calculus-of-variations #hessian-matrix #variational-analysis
25
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Similarity between the differential of functionals and functions

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#variational-analysis
249
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Functional form of an Ordinary Differential Equation

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#ordinary-differential-equations #variational-analysis
48
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Beam equation is neccesary condition for minimum of specific functional.

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#real-analysis #functional-analysis #ordinary-differential-equations #calculus-of-variations #variational-analysis
22
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First variation of coordinate transformation

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#real-analysis #multivariable-calculus #variational-analysis
182
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Do there exist energy-minimizing immersions?

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#differential-geometry #riemannian-geometry #calculus-of-variations #harmonic-functions #variational-analysis
66
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Is there always a non-trivial homotopy class of maps which minimizes the Dirichlet energy?

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#optimization #riemannian-geometry #homotopy-theory #calculus-of-variations #variational-analysis
238
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Definition of fundamental eigenvalue and sign of fundamental eigenfunction.

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#functional-analysis #eigenvalues-eigenvectors #spectral-theory #integral-equations #variational-analysis
98
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$\lambda = \max_{\mathbf{x}}\frac{\mathbf{x}^{T}\mathbf{A}\mathbf{x}}{\mathbf{x}^{T}\mathbf{x}}$ for non-negative matrices $A$?

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#linear-algebra #eigenvalues-eigenvectors #variational-analysis
32
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Is the trapezoid rule integral operator $A$ a non singular matrix?

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#convex-optimization #numerical-linear-algebra #variational-analysis
441
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Why is a weak variational inequality *equivalent* to a strong variational inequality for a continuous, monotone operator?

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#continuity #monotone-functions #variational-analysis
708
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How to get differential equation of Fermat Principle

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#ordinary-differential-equations #physics #variational-analysis

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