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半線性橢圓方程中加權函數的影響 = Effect of Weight F...

國立高雄大學應用數學系碩士班

半線性橢圓方程中加權函數的影響 = Effect of Weight Function for a Semilinear Elliptic Equation

Record Type:	Language materials, printed : monographic
Paralel Title:	Effect of Weight Function for a Semilinear Elliptic Equation
Author:	戴偉恭,
Secondary Intellectual Responsibility:	國立高雄大學
Place of Publication:	[高雄市]
Published:	撰者;
Year of Publication:	2009[民98]
Description:	29面圖,表 : 30公分;
Subject:	Nehari 流形
Subject:	Nehari manifold
Online resource:	http://handle.ncl.edu.tw/11296/ndltd/27447338222974401713
Notes:	指導教授：吳宗芳
Summary:	本論文中，我們觀察半線性橢圓方程中具有變號的加權函裡，結合了凹凸非線性項的解個數。透過Nehari流形，我們證明出在這有界的值域下，方程(Eλ,μ)會有兩個解。 In this thesis, we study the combined effect of concave and convex nonlinearities on the number of solutions for a semilinear elliptic equation with sign-changing weight functions. With the help of the Nehari manifold, we prove that there are at least two solutions for the equation in bounded domains.

半線性橢圓方程中加權函數的影響 = Effect of Weight Function for a Semilinear Elliptic Equation
戴, 偉恭

半線性橢圓方程中加權函數的影響 = Effect of Weight Function for a Semilinear Elliptic Equation / 戴偉恭撰 - [高雄市] : 撰者, 2009[民98]. - 29面 ; 圖,表 ; 30公分.
指導教授：吳宗芳.
參考書目：面.
Nehari 流形Nehari manifold

半線性橢圓方程中加權函數的影響 = Effect of Weight Function for a Semilinear Elliptic Equation
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330 $a 本論文中，我們觀察半線性橢圓方程中具有變號的加權函裡，結合了凹凸非線性項的解個數。透過Nehari流形，我們證明出在這有界的值域下，方程(Eλ,μ)會有兩個解。 In this thesis, we study the combined effect of concave and convex nonlinearities on the number of solutions for a semilinear elliptic equation with sign-changing weight functions. With the help of the Nehari manifold, we prove that there are at least two solutions for the equation in bounded domains.
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