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Multiple Solutions for a class of p - Laplace equation

Author: YangXiaoCui
Tutor: LiuZhaoLi
School: Capital Normal University
Course: Basic mathematics
Keywords: p-Laplacian operator upper solution lower solution truncation the biggest positive solution
CLC: O175.8
Type: Master's thesis
Year: 2009
Downloads: 58
Quote: 0
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Abstract


In this paper, by constructing suitable truncations, we use variational method, upper-lower solution theory and critical point theory to study existence of the biggest solution and multiple solutions for the p-Laplacian equationWhereλis a positive parameter,Ω（?） RN is a bounded domain with C2 boundary （?） and△pu = div（?） is the p-Laplacian operator. We assume 1＜p＜τ1＜τ2＜p*, p* denotes the critical Sobolev exponent, i.e.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems
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