List questions from semicontinuous-functions

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Characterization of semicontinuity

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A semicontinuous diagonal function?

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How to prove the lower semi-continuity of this functionnal on $H^1(\Omega)$

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Finiteness and Lower Semi-Continuity of an Functional.

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An approximation of a d-dimensional function using an order q<d function

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When is the convex envelope lower semicontinuous for an infinite dimensional space?

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Sum of lower semicontinuous functions

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Lower Semi-Continuous Functions Arising from Plane Flows

Published on 22 Mar 2026 - 17:05

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If $a(u,u) \leq \liminf a(u_n, u_n)$, is $a(u,u) \leq \liminf a(u_n, u_{n-1})$?

Published on 23 Mar 2026 - 7:11

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Weak lower semincontinuity of a functional with weak lower semicontinuity of $W^{1,2}$-norm

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Does a function $f: E \rightarrow \mathbb R$ and such that $f$ is continuous, but not weakly lower semcontinuous exist?

Published on 22 Mar 2026 - 19:54

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Is this functional $\psi(u)=\int_{\Omega} \int_{0}^{u(x)} H(u(x)-\mu)dsdx$ is upper semi-continuous?

Published on 21 Mar 2026 - 21:24

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On which spaces can lower semicontinuous functions be approximated from below by bounded continuous functions?

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Why care about lower semicontinuous function?

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List Question

Semi continuity is continuity with respect to one sided order topology?

Characterization of semicontinuity

A semicontinuous diagonal function?

How to prove the lower semi-continuity of this functionnal on $H^1(\Omega)$

Finiteness and Lower Semi-Continuity of an Functional.

An approximation of a d-dimensional function using an order q<d function

When is the convex envelope lower semicontinuous for an infinite dimensional space?

Sum of lower semicontinuous functions

Lower Semi-Continuous Functions Arising from Plane Flows

If $a(u,u) \leq \liminf a(u_n, u_n)$, is $a(u,u) \leq \liminf a(u_n, u_{n-1})$?

Weak lower semincontinuity of a functional with weak lower semicontinuity of $W^{1,2}$-norm

Does a function $f: E \rightarrow \mathbb R$ and such that $f$ is continuous, but not weakly lower semcontinuous exist?

Is this functional $\psi(u)=\int_{\Omega} \int_{0}^{u(x)} H(u(x)-\mu)dsdx$ is upper semi-continuous?

On which spaces can lower semicontinuous functions be approximated from below by bounded continuous functions?

Why care about lower semicontinuous function?

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