New posts in Calculus Of Variations

Optimization problem using Reproducing Kernel Hilbert Spaces

Conceptual difference between strong and weak formulations

Derivative of $f(x,y)$ with respect to another function of two variables $k(x,y)$

What's the minimum of $\int_0^1 f(x)^2 \: dx$, subject to $\int_0^1 f(x) \: dx = 0, \int_0^1 x f(x) \: dx = 1$?

Introductory text for calculus of variations

Why does a circle enclose the largest area?

Is an $H_0^1$ function continuous to the boundary if it is continuous in the interior?

Example of ODE not equivalent to Euler-Lagrange equation

If all points of a real function with positive values would be local minimum, can one say it is constant function?

$| f_n |^p - | f |^p - | f_n-f |^p$ converges in distribution sense if $f_k$ converges almost everywhere and weakly to $f$?