Morse Theoretic Aspects of $p$-Laplacian Type Operators

Released on by Kanishka Perera
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  • Morse Theoretic Aspects of $p$-Laplacian Type Operators Book Detail

  • Author : Kanishka Perera
  • Release Date : 2010
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 170
  • ISBN 13 : 0821849689
  • File Size : 26,26 MB
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Morse Theoretic Aspects of $p$-Laplacian Type Operators by Kanishka Perera PDF Summary

Book Description: Presents 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. 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.

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