scholarly journals Existence and multiplicity of positive solutions for singular $\phi$-Laplacian superlinear problems with nonlinear boundary conditions

2021 ◽  
pp. 1-13
Author(s):  
Dang Dinh Hai ◽  
Xiao Wang
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Existence And Multiplicity ◽  
Multiplicity Of Positive Solutions

scholarly journals MULTIPLICITY OF POSITIVE SOLUTIONS UNDER NONLINEAR BOUNDARY CONDITIONS FOR DIFFUSIVE LOGISTIC EQUATIONS

2004 ◽  
Vol 47 (2) ◽  
pp. 495-512 ◽  
Author(s):  
Kenichiro Umezu
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Nonlinear Boundary ◽  
Elliptic Boundary ◽  
Nonlinear Boundary Conditions ◽  
Elliptic Boundary Value ◽  
Logistic Equations ◽  
Nonlinear Elliptic ◽  
Existence And Multiplicity ◽  
Multiplicity Of Positive Solutions

AbstractIn this paper we consider the existence and multiplicity of positive solutions of a nonlinear elliptic boundary-value problem with nonlinear boundary conditions which arises in population dynamics. While bifurcation problems from lines of trivial solutions are studied, the existence of bifurcation positive solutions from infinity is discussed. The former will be caught by the reduction to a bifurcation equation following the Lyapunov and Schmidt procedure. The latter will be based on a variational argument depending on the corresponding constrained minimization problem.AMS 2000 Mathematics subject classification: Primary 35J65; 35J20; 35P30; 35B32; 92D25

Positive solutions of elliptic equations with nonlinear boundary conditions

2009 ◽  
Vol 70 (1) ◽  
pp. 328-334 ◽  
Author(s):  
Xiuchao Song ◽  
Weihua Wang ◽  
Peihao Zhao
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions

scholarly journals Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Zonghu Xiu ◽  
Caisheng Chen
Keyword(s):  
Variational Method ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Elliptic Problem ◽  
Multiple Solutions ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Nehari Manifold ◽  
The Nehari Manifold ◽  
Kirchhoff Problem

The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , ,   = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some conditions are satisfied.

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