How Long to Read N-harmonic Mappings Between Annuli

How Long Does it Take to Read N-harmonic Mappings Between Annuli?

It takes the average reader 1 hour and 47 minutes to read N-harmonic Mappings Between Annuli by Tadeusz Iwaniec

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

Description

The central theme of this paper is the variational analysis of homeomorphisms $h: {\mathbb X} \overset{\textnormal{\tiny{onto}}}{\longrightarrow} {\mathbb Y}$ between two given domains ${\mathbb X}, {\mathbb Y} \subset {\mathbb R}^n$. The authors look for the extremal mappings in the Sobolev space ${\mathscr W}^{1,n}({\mathbb X},{\mathbb Y})$ which minimize the energy integral ${\mathscr E}_h=\int_{{\mathbb X}} \,|\!|\, Dh(x) \,|\!|\,^n\, \textrm{d}x$. Because of the natural connections with quasiconformal mappings this $n$-harmonic alternative to the classical Dirichlet integral (for planar domains) has drawn the attention of researchers in Geometric Function Theory. Explicit analysis is made here for a pair of concentric spherical annuli where many unexpected phenomena about minimal $n$-harmonic mappings are observed. The underlying integration of nonlinear differential forms, called free Lagrangians, becomes truly a work of art.

How long is N-harmonic Mappings Between Annuli?

N-harmonic Mappings Between Annuli by Tadeusz Iwaniec 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 N-harmonic Mappings Between Annuli Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 26 minutes to read N-harmonic Mappings Between Annuli aloud.

What Reading Level is N-harmonic Mappings Between Annuli?

N-harmonic Mappings Between Annuli 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 N-harmonic Mappings Between Annuli?

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