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Minimise the functional $\int_D \| \operatorname{grad}u(M)\|^2\,\mathrm dM$

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#real-analysis #multivariable-calculus #calculus-of-variations #maxima-minima
83
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Finding a specific set of functions. (Please, read the description)

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#calculus #sequences-and-series #functions #calculus-of-variations #variational-analysis
15
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Growth/boundedness of the excess of a function

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#analysis #partial-differential-equations #calculus-of-variations
297
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Motivation for the definition of the functional derivative

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#calculus-of-variations
185
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QFT - Generating Functional

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#physics #calculus-of-variations #quantum-field-theory #functional-calculus
291
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Why do every strong extremum is simultaneously the weak extremum?

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#functional-analysis #optimization #calculus-of-variations #nonlinear-analysis
54
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Scale-dependent isoperimetric inequalities (e.g. with heat kernel?)

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#calculus-of-variations #harmonic-analysis #laplacian #eigenfunctions #geometric-inequalities
47
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Perimeter of a finite set formula - isoperimeter inequality

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#calculus #geometry #inequality #calculus-of-variations
227
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Time-optimal control of a car

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#ordinary-differential-equations #calculus-of-variations #control-theory #optimal-control
79
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Question on “general variations of functional” proof, Gelfand & Fomin

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#proof-explanation #calculus-of-variations
792
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Proof that Campanato space is embedded in Hölder continuous space

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#real-analysis #functional-analysis #partial-differential-equations #sobolev-spaces #calculus-of-variations
3.4k
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Notation of Euler Lagrange Equations for multiple independent variables

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#multivariable-calculus #notation #calculus-of-variations #euler-lagrange-equation
96
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Finding a minimal of the following variational problem

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#calculus-of-variations
140
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How to show that the variational problem does not attain its infimum

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#calculus-of-variations
71
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Is there any justification for a path between two fix points to have a compact support in the derivation of Euler-Lagrange Equation?

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#calculus-of-variations #classical-mechanics #euler-lagrange-equation

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