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About proving that $x_0$ is a minimum of a functional.

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#calculus-of-variations #euler-lagrange-equation
51
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Minimizing a Line Integral of a Vector Field Using Euler-Lagrange---No Way to Ensure Boundary Conditions are Satisfied

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#optimization #calculus-of-variations #euler-lagrange-equation
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Constrained Euler-Lagrange equations: equivalent constraints leading to different equations of motion

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#calculus-of-variations #lagrange-multiplier #constraints #euler-lagrange-equation
222
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Minimizing problem (1-dimensional phase transition)

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#functional-analysis #sobolev-spaces #calculus-of-variations #weak-convergence #euler-lagrange-equation
182
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Using the Principle of Least Action to find the Constant/Equation of Motion

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#calculus-of-variations #classical-mechanics #applications #euler-lagrange-equation
65
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Developing Euler Lagrange equations under the Ritz method

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#calculus #derivatives #euler-lagrange-equation
195
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Proving that the Lagrangian is time translation invariant

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#analysis #differential #euler-lagrange-equation
296
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Brachistochrone Problem Including Friction - Reducing a Differential Equation

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#calculus #ordinary-differential-equations #derivatives #euler-lagrange-equation
276
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Simplifying Euler-Lagrange equation with dot product and gradients

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#calculus-of-variations #euler-lagrange-equation
109
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Calculus of variations: Extremal classification, prove there is no sup(I)

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#calculus #calculus-of-variations #euler-lagrange-equation
415
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Euler-Lagrange equations in 2D with line-wise constraint

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#partial-differential-equations #calculus-of-variations #lagrange-multiplier #constraints #euler-lagrange-equation
295
Views

A new type of manifold, is such a construction interesting? Is it relevant for the Euler-Lagrange equations

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#differential-geometry #smooth-manifolds #mathematical-physics #fiber-bundles #euler-lagrange-equation
98
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How to show that two Euler-Lagrange-equations have the same solution?

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#euler-lagrange-equation
26
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Optimise a functional using Euler-Lagrange-Equations gives trivial solution.

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#calculus-of-variations #euler-lagrange-equation
164
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Euler-lagrange equation solution doesn't make sense

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#ordinary-differential-equations #optimization #calculus-of-variations #euler-lagrange-equation #variational-analysis

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