scholarly journals Exact multiplicity of solutions for discrete second order Neumann boundary value problems

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Dingyong Bai ◽  
Hairong Lian ◽  
Haiyan Wang
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Multiplicity Of Solutions ◽  
Neumann Boundary Value Problems ◽  
Exact Multiplicity Of Solutions ◽  
Exact Multiplicity

scholarly journals Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Xuemei Zhang
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Impulsive Effects ◽  
Parameter Dependence ◽  
Neumann Boundary Value Problem ◽  
Neumann Boundary Value Problems

The author considers the Neumann boundary value problem-y′′t+Myt=λωtft,yt,  t∈J,    t≠tk,  -Δy′|t=tk=λIktk,ytk,   k=1,2,…,m,  y′(0)=y′(1)=0and establishes the dependence results of the solution on the parameterλ, which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan.

Multiplicity of solutions for a nonlocal nonhomogeneous Neumann boundary problem with two critical exponents

2021 ◽  
pp. 1-22
Author(s):  
Augusto Costa ◽  
Andréia Pinheiro
Keyword(s):  
Variational Method ◽  
Boundary Value Problems ◽  
Boundary Problem ◽  
Critical Exponents ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Critical Growth ◽  
Multiplicity Of Solutions ◽  
Neumann Boundary Value Problems

This article concerns the multiplicity of solutions for a class of nonlocal and nonhomogeneous Neumann boundary value problems involving the p ( x )-Laplacian, in which both nonlinear terms assume critical growth. We use variational method, exploring an important truncation argument and properties of the genus.

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