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The Existence of Multiple Solutions to Quasilinear Elliptic Equations
Author(s) -
Liu Jiaquan,
Liu Shibo
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304004023
Subject(s) - mathematics , mathematics subject classification , class (philosophy) , truncation (statistics) , morse theory , morse code , pure mathematics , laplace operator , subject (documents) , mathematical analysis , statistics , artificial intelligence , library science , computer science , electrical engineering , engineering
Using Morse theory and the truncation technique, a proof is given of the existence of at least three nontrivial solutions for a class of p ‐Laplacian equations. When p = 2, the existence of four nontrivial solutions is also considered. 2000 Mathematics Subject Classification 35J65, 58E05.