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Results tagged with elliptic-pde
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user 61771
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
1
vote
Construction of elliptic equation with Neumann boundary condition from a minimization problem
Let $u\in H^1(B)$ be a minimising value of $E:H^1(B)\to \mathbb{R}_+$. Then $E'(u)=0$ in the sense that
$$
E'(u)v =
\int_B [\nabla u \cdot \nabla v + 4(u^2-1)uv ] dx - \int_{\partial B} Q'(u)v \hsp …
- 778
2
votes
Elliptic equation with lower dimensional data
I think the reason this hasn't been answered is that you haven't really specified what $f$ is as a distribution (i.e. what you want it to do to test functions); the answer depends on whether you're th …
- 778