How Long to Read Morse Theoretic Aspects of P-Laplacian Type Operators

How Long Does it Take to Read Morse Theoretic Aspects of P-Laplacian Type Operators?

It takes the average reader 2 hours and 21 minutes to read Morse Theoretic Aspects of P-Laplacian Type Operators by Kanishka Perera

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

Description

The purpose of this book is to present a Morse theoretic study of a very general class of homogeneous operators that includes the $p$-Laplacian as a special case. The $p$-Laplacian operator is a quasilinear differential operator that arises in many applications such as non-Newtonian fluid flows and turbulent filtration in porous media. Infinite dimensional Morse theory has been used extensively to study semilinear problems, but only rarely to study the $p$-Laplacian. The standard tools of Morse theory for computing critical groups, such as the Morse lemma, the shifting theorem, and various linking and local linking theorems based on eigenspaces, do not apply to quasilinear problems where the Euler functional is not defined on a Hilbert space or is not $C^2$ or where there are no eigenspaces to work with. Moreover, a complete description of the spectrum of a quasilinear operator is generally not available, and the standard sequence of eigenvalues based on the genus is not useful for obtaining nontrivial critical groups or for constructing linking sets and local linkings. However, one of the main points of this book is that the lack of a complete list of eigenvalues is not an insurmountable obstacle to applying critical point theory. Working with a new sequence of eigenvalues that uses the cohomological index, the authors systematically develop alternative tools such as nonlinear linking and local splitting theories in order to effectively apply Morse theory to quasilinear problems. They obtain nontrivial critical groups in nonlinear eigenvalue problems and use the stability and piercing properties of the cohomological index to construct new linking sets and local splittings that are readily applicable here. (SURV/161)

How long is Morse Theoretic Aspects of P-Laplacian Type Operators?

Morse Theoretic Aspects of P-Laplacian Type Operators by Kanishka Perera is 141 pages long, and a total of 35,391 words.

This makes it 48% the length of the average book. It also has 43% more words than the average book.

How Long Does it Take to Read Morse Theoretic Aspects of P-Laplacian Type Operators Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 13 minutes to read Morse Theoretic Aspects of P-Laplacian Type Operators aloud.

What Reading Level is Morse Theoretic Aspects of P-Laplacian Type Operators?

Morse Theoretic Aspects of P-Laplacian Type Operators 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 Morse Theoretic Aspects of P-Laplacian Type Operators?

Morse Theoretic Aspects of P-Laplacian Type Operators by Kanishka Perera is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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