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Problem 9 M.L Krasnov variational calculus

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#multivariable-calculus #optimization #calculus-of-variations #hessian-matrix
40
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Finding the path between to points which minimizes cost function subject to constraints

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#calculus #optimization #calculus-of-variations
36
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Solving $- \Delta u = \lambda u + |u|^{q-2} u$ by method of Langrange's multipliers

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#proof-explanation #calculus-of-variations #lagrange-multiplier
29
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Integral equality in a matrix setting

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#integration #multivariable-calculus #calculus-of-variations
61
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confusion about the meaning of a stationary integral

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#maxima-minima #calculus-of-variations #stationary-point
351
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Can the geodesic equation be used to solve the Brachistochrone Problem?

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#calculus-of-variations #geodesic #euler-lagrange-equation #variational-analysis
100
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Why exactly do we write $\mathcal{L}(x(t),x'(t),t)$ instead of simply $\mathcal{L}(x(t),t)$?

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#calculus-of-variations #euler-lagrange-equation
87
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A variational argument involving the Rayleigh quotient from Gilbarg-Trudinger

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#partial-differential-equations #calculus-of-variations #elliptic-equations
89
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Proving that certain functional has a positive lower bound

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#real-analysis #differential-geometry #optimization #calculus-of-variations
45
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Euler-Lagrange equation w.r.t. compact variation

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#calculus-of-variations #euler-lagrange-equation
122
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what to make out of it when Euler-Lagrange Equation is constantly zero

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#calculus-of-variations #vector-fields #euler-lagrange-equation
139
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Why we need a Hausdorff measure here?

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#lebesgue-measure #calculus-of-variations #geometric-measure-theory #hausdorff-measure
102
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Along what curve does a circle roll down the fastest?

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#mathematical-physics #calculus-of-variations
26
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Blow up of the function $G$ implies blow up of its integral

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#partial-differential-equations #calculus-of-variations
26
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Would second order variation necessary for the calculation of the area?

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#analysis #calculus-of-variations

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