The Neumann boundary value problem of higher order quasilinear elliptic equation

2010 ◽  
Vol 72 (12) ◽  
pp. 4488-4499
Author(s):  
Yongqiang Fu ◽  
Mei Yu
Keyword(s):  
Elliptic Equation ◽  
Boundary Value Problem ◽  
Quasilinear Elliptic Equation ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Higher Order ◽  
Neumann Boundary Value Problem ◽  
Quasilinear Elliptic

scholarly journals POSITIVE SOLUTIONS OF A SECOND-ORDER NEUMANN BOUNDARY VALUE PROBLEM WITH A PARAMETER

2012 ◽  
Vol 86 (2) ◽  
pp. 244-253 ◽  
Author(s):  
YANG-WEN ZHANG ◽  
HONG-XU LI
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Existence And Uniqueness Theorem ◽  
Neumann Boundary Value Problem ◽  
Image Position ◽  
Continuous Dependence Of Solutions

AbstractIn this paper, we consider the Neumann boundary value problem with a parameter λ∈(0,∞): By using fixed point theorems in a cone, we obtain some existence, multiplicity and nonexistence results for positive solutions in terms of different values of λ. We also prove an existence and uniqueness theorem and show the continuous dependence of solutions on the parameter λ.

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