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Euler-Lagrange equations on functionals with several independent variables (integral by parts on multiple integrals)

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#integration #calculus-of-variations
82
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Euler lagrange equations for the following $E(u;f)$

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#integration #ordinary-differential-equations #calculus-of-variations #euler-lagrange-equation
137
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Two questions on Do Carmo’s definition of variation of a curve

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#differential-geometry #calculus-of-variations
49
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Finding an optimal path "around" a function

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#optimization #calculus-of-variations
43
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Studying behaviour of the following differential equation

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#ordinary-differential-equations #asymptotics #calculus-of-variations #image-processing
92
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How to derive boundary conditions for variational problems?

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#partial-differential-equations #calculus-of-variations #boundary-value-problem
64
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Calculus of variations with inverse of derivative composited within?

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#calculus-of-variations #optimal-control
1k
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Functional derivative of a functional that depends on antiderivative

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#calculus-of-variations #functional-calculus
141
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Maximizing expected value with constrained 2nd moment

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#statistics #optimization #calculus-of-variations #moment-problem
103
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Euler Lagrange equations for the following problem (first step)

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#proof-verification #calculus-of-variations #euler-lagrange-equation #jacobian
861
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Deriving the Euler-Lagrange equations for the arclength of a curve on the unit sphere

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#calculus-of-variations #spherical-coordinates #spherical-geometry #geodesic #euler-lagrange-equation
618
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Exercise 1.21 of Villani Topics in Optimal Transportation

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#measure-theory #optimization #calculus-of-variations #optimal-transport
42
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Minimizing an integral involving first fundamental form

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#differential-geometry #riemannian-geometry #calculus-of-variations
341
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Minimizing a functional with boundary conditions

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#calculus-of-variations #euler-lagrange-equation
56
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Show that solution to isoperimetric minimization problem is strictly convex

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#convex-optimization #nonlinear-optimization #calculus-of-variations #euler-lagrange-equation

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