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Doubt about second variation calculation

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#partial-differential-equations #optimization #calculus-of-variations
713
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Proving Young's Inequality using the Legendre Transform

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#analysis #calculus-of-variations
452
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Finding y(x) and extremals of functional with Euler equation

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#calculus-of-variations #euler-lagrange-equation
246
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Chebyshev function: variational formulation

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#number-theory #reference-request #analytic-number-theory #calculus-of-variations #chebyshev-function
382
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weak convergence of weak derivative in Sobolev Spaces

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#calculus #functional-analysis #sobolev-spaces #calculus-of-variations #weak-convergence
133
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Paths on a disconnected manifold

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#differential-geometry #manifolds #calculus-of-variations
52
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How to take the determinant of a rank(1,1) tensor?

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#determinant #tensors #calculus-of-variations #symmetry #jacobian
77
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Strictly convexity of $\rho \mapsto \int_{\mathbb{R}^N} |\nabla \sqrt{\rho}|^2 \,dx$

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#analysis #convex-analysis #calculus-of-variations
120
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Momentum constraints for a Singular Lagrangian

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#dynamical-systems #calculus-of-variations #constraints #hamilton-equations
393
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Uniqueness of minimizer of Lagrangian

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#optimization #calculus-of-variations #euler-lagrange-equation
55
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A continuity result for functions on a Sobolev space

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#functional-analysis #sobolev-spaces #calculus-of-variations #nonlinear-analysis
45
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How to prove that $y$ is a minimiser for a certain functional $J$?

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#calculus-of-variations
14
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What's the expression of $\frac{\delta F}{\delta P_i}$

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#partial-derivative #calculus-of-variations
122
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Proving a Certain Functional is Coercive

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#functional-analysis #partial-differential-equations #sobolev-spaces #calculus-of-variations
2.1k
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Existence and Uniqueness of Poisson Equation with Robin Boundary Condition using First Variation Methods

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#real-analysis #partial-differential-equations #calculus-of-variations #poissons-equation

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