How Long to Read The Lin-Ni's Problem for Mean Convex Domains

By Olivier Druet

How Long Does it Take to Read The Lin-Ni's Problem for Mean Convex Domains?

It takes the average reader 1 hour and 47 minutes to read The Lin-Ni's Problem for Mean Convex Domains by Olivier Druet

Assuming a reading speed of 250 words per minute. Learn more

Description

The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$ being a smooth bounded domain of $\mathbb{R}^n$, $n\geq 3$. In particular, they show that concentration can occur only on boundary points with nonpositive mean curvature when $n=3$ or $n\geq 7$. As a direct consequence, they prove the validity of the Lin-Ni's conjecture in dimension $n=3$ and $n\geq 7$ for mean convex domains and with bounded energy. Recent examples by Wang-Wei-Yan show that the bound on the energy is a necessary condition.

How long is The Lin-Ni's Problem for Mean Convex Domains?

The Lin-Ni's Problem for Mean Convex Domains by Olivier Druet is 105 pages long, and a total of 26,775 words.

This makes it 35% the length of the average book. It also has 33% more words than the average book.

How Long Does it Take to Read The Lin-Ni's Problem for Mean Convex Domains Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 26 minutes to read The Lin-Ni's Problem for Mean Convex Domains aloud.

What Reading Level is The Lin-Ni's Problem for Mean Convex Domains?

The Lin-Ni's Problem for Mean Convex Domains is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy The Lin-Ni's Problem for Mean Convex Domains?

The Lin-Ni's Problem for Mean Convex Domains by Olivier Druet is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy The Lin-Ni's Problem for Mean Convex Domains by Olivier Druet on Amazon click the button below.

Buy The Lin-Ni's Problem for Mean Convex Domains on Amazon