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15
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Euler-Lagrange-type equation for a more natural variational problem

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#functional-analysis #mathematical-physics #calculus-of-variations
28
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Find an optimal curve in order to minimalize the integral.

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#calculus-of-variations
47
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Inequality concerning a variational integrator

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#functional-analysis #calculus-of-variations
59
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Existence of minimal solution in $C^1((a,b))\cap C^2((a,b))$

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#functional-analysis #calculus-of-variations
48
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Substituting Functions into Taylor Series

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#taylor-expansion #physics #mathematical-physics #calculus-of-variations #euler-lagrange-equation
55
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Maximum or saddle point of a functional

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#functional-analysis #maxima-minima #calculus-of-variations
337
Views

Solvability of Poisson equation with Cauchy boundary condition

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#partial-differential-equations #calculus-of-variations #regularity-theory-of-pdes #poissons-equation #cauchy-problem
217
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Differentiation in functional equations (calculus of variations)

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#derivatives #calculus-of-variations
98
Views

Strong lower semicontinuity theorem

Published on
#functional-analysis #calculus-of-variations #semicontinuous-functions
112
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Differentiation in the geodesic problem

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#derivatives #calculus-of-variations
197
Views

Finding stationary function of the functional with no boundary conditions.

Published on
#calculus-of-variations #euler-lagrange-equation
201
Views

Constructing a proper variation through geodesics at cut locus

Published on
#differential-geometry #riemannian-geometry #calculus-of-variations #geodesic
56
Views

Faber-Krahn inequality implies a volume lower bound

Published on
#real-analysis #calculus-of-variations #geometric-measure-theory
245
Views

A case where the Euler-Lagrange equations produces $1=0$

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#calculus-of-variations #euler-lagrange-equation #functional-calculus
143
Views

Finding $y(x)$ using a minimization problem.

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#optimization #nonlinear-optimization #calculus-of-variations #nonlinear-system

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