List questions from calculus-of-variations

Published on 26 Mar 2026 - 17:37

51

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Proving that, if $\Vert f\Vert_{H^1}^2-\Vert g\Vert_{H^1}^2\to0$ and $\big\vert F(f)-F(g)\big\vert\to0$, then $\Vert f-g\Vert_{H^1}\to0$

Published on 27 Aug 2020 - 17:53

377

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Nonlinear functional variational calculus

Published on 29 Aug 2020 - 12:16

82

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Is the convex combination realizing the convex envelope unique?

Published on 30 Aug 2020 - 13:40

189

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Why do I get three different results for the first variation of $J(x(t)) = \int_{t_0}^{t_f} x^2(t) dt$?

Published on 28 Mar 2026 - 22:29

236

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Calculus of Variations Problem - Boundary Conditions

Published on 01 Sep 2020 - 23:56

23

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EL equations with unbounded integrand at the boundary conditions - Divergent integral after change of variables as a more general problem

Published on 23 Feb 2026 - 23:06

116

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The Euler-Lagrange equation

Published on 10 Apr 2026 - 23:30

290

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Help with minimal surface of revolution: symmetric case

Published on 10 Apr 2026 - 5:23

72

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Rayleigh quotient via Ekeland variational principle

Published on 09 Apr 2026 - 20:07

736

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Shortest distance between points using a parameter and variational principle.

Published on 28 Mar 2026 - 22:25

98

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Euler Lagrange Equation for a Particular Functional

Published on 09 Apr 2026 - 23:10

73

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More than one extremal for an isoperimetric problem?

Published on 10 Apr 2026 - 19:31

64

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Are these two subsets of matrices rank-$1$ connected?

Published on 27 Mar 2026 - 19:53

94

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Existence and regularity of solutions of elliptic PDE in $\mathbb{R}^n$

Published on 29 Mar 2026 - 21:02

List Question

Is the infimum $\int_{X} F(g)$ over all $g$ such that $ \int_X g=c $ obtained?

Proving that, if $\Vert f\Vert_{H^1}^2-\Vert g\Vert_{H^1}^2\to0$ and $\big\vert F(f)-F(g)\big\vert\to0$, then $\Vert f-g\Vert_{H^1}\to0$

Nonlinear functional variational calculus

Is the convex combination realizing the convex envelope unique?

Why do I get three different results for the first variation of $J(x(t)) = \int_{t_0}^{t_f} x^2(t) dt$?

Calculus of Variations Problem - Boundary Conditions

EL equations with unbounded integrand at the boundary conditions - Divergent integral after change of variables as a more general problem

The Euler-Lagrange equation

Help with minimal surface of revolution: symmetric case

Rayleigh quotient via Ekeland variational principle

Shortest distance between points using a parameter and variational principle.

Euler Lagrange Equation for a Particular Functional

More than one extremal for an isoperimetric problem?

Are these two subsets of matrices rank-$1$ connected?

Existence and regularity of solutions of elliptic PDE in $\mathbb{R}^n$

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