List questions from calculus-of-variations

Published on 29 Mar 2026 - 16:00

122

Views

Who that Wirtinger's inequality does not hold when $a>\pi$?

Published on 12 Apr 2026 - 9:50

117

Views

What is the definition of a Jacobi operator for a functional?

Published on 10 Apr 2026 - 14:04

125

Views

Proof of Hartree Energy conservation

Published on 09 Apr 2026 - 4:39

165

Views

Is functional $\int_0^a \left( (u')^2 - u^2 \right) {\rm d} x$ convex?

Published on 26 Mar 2026 - 17:44

804

Views

Is there a Lagrangian that produces these equations? How can I find one if it exists?

Published on 26 Mar 2026 - 14:21

201

Views

Do I miss something in my proof?

Published on 12 Apr 2026 - 7:45

40

Views

Antisymmetric functions in $L^2([-1,1])$ and their expression as determinants

Published on 12 Apr 2026 - 16:02

77

Views

What properties does $\mathcal{L}$ guarantee in Euler-Lagrange Differential Equation?

Published on 08 Apr 2026 - 21:32

65

Views

Variational formulation in Geometric Calculus for Dirac's Equation

Published on 12 Apr 2026 - 4:33

285

Views

Special version of Tonelli’s theorem

Published on 07 Jan 2022 - 13:05

196

Views

Maximizing $\int_0^\infty (1+xy')^2e^y dx$ subject to $\int_0^\infty e^ydx = 1$

Published on 11 Apr 2026 - 19:57

145

Views

Why $u=1$ is not a minimizer of $I(u)=\int_{0}^{1}u^2(2-u)^2dx$?

Published on 12 Apr 2026 - 4:54

410

Views

Constraint in Lagrangian for mass spring system.

Published on 29 Mar 2026 - 16:00

200

Views

Best Constant for Sobolev-Type Inequality

Published on 11 Apr 2026 - 19:50

List Question

Show that the full Euler-Lagrange equation of the Brachistochrone is $2y(x)y''(x)+y'(x)^2+1=0$

Who that Wirtinger's inequality does not hold when $a>\pi$?

What is the definition of a Jacobi operator for a functional?

Proof of Hartree Energy conservation

Is functional $\int_0^a \left( (u')^2 - u^2 \right) {\rm d} x$ convex?

Is there a Lagrangian that produces these equations? How can I find one if it exists?

Do I miss something in my proof?

Antisymmetric functions in $L^2([-1,1])$ and their expression as determinants

What properties does $\mathcal{L}$ guarantee in Euler-Lagrange Differential Equation?

Variational formulation in Geometric Calculus for Dirac's Equation

Special version of Tonelli’s theorem

Maximizing $\int_0^\infty (1+xy')^2e^y dx$ subject to $\int_0^\infty e^ydx = 1$

Why $u=1$ is not a minimizer of $I(u)=\int_{0}^{1}u^2(2-u)^2dx$?

Constraint in Lagrangian for mass spring system.

Best Constant for Sobolev-Type Inequality

Trending Questions

Popular # Hahtags

Popular Questions