Morse Theoretic Aspects of $p$-Laplacian Type Operators

Download or read book Morse Theoretic Aspects of $p$-Laplacian Type Operators written by Kanishka Perera and published by American Mathematical Soc.. This book was released on 2010 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.