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Morse Theoretic Aspects of $p$-Laplacian Type Operators

Kanishka PereraRavi P. AgarwalDonal O'Regan

出版	American Mathematical Soc., 2010
主題	Mathematics / Differential Equations / GeneralMathematics / Differential Equations / PartialMathematics / Mathematical Analysis
ISBN	08218496899780821849682
URL	http://books.google.com.hk/books?id=ciaZAwAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.