The spike layer solution to singular perturbation Robin boundary value problem for higher order elliptic equation

2020 ◽  
Vol 35 (4) ◽  
pp. 410-416
Author(s):  
Yi-hu Feng ◽  
Lei Hou
Keyword(s):  
Elliptic Equation ◽  
Singular Perturbation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Higher Order ◽  
Order Elliptic Equation ◽  
Robin Boundary ◽  
Robin Boundary Value Problem ◽  
Layer Solution

scholarly journals Entropy Solution for Doubly Nonlinear Elliptic Anisotropic Problems with Robin Boundary Conditions

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
I. Ibrango ◽  
S. Ouaro
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Weak Solutions ◽  
Entropy Solution ◽  
Boundary Value ◽  
Monotone Operators ◽  
Robin Boundary Conditions ◽  
Anisotropic Problems ◽  
Robin Boundary ◽  
Robin Boundary Value Problem

We study in this paper nonlinear anisotropic problems with Robin boundary conditions. We prove, by using the technic of monotone operators in Banach spaces, the existence of a sequence of weak solutions of approximation problems associated with the anisotropic Robin boundary value problem. For the existence and uniqueness of entropy solutions, we prove that the sequence of weak solutions converges to a measurable function which is the entropy solution of the anisotropic Robin boundary value problem.

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