Robin boundary value problem for second order elliptic system in the plane with singular coefficients

2015 ◽  
Author(s):  
Aliaskar Tungatarov ◽  
Gulnar Rzayeva
Keyword(s):  
Boundary Value Problem ◽  
Elliptic System ◽  
Boundary Value ◽  
Second Order ◽  
Singular Coefficients ◽  
Order Elliptic System ◽  
Robin Boundary ◽  
Robin Boundary Value Problem

On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Entire Domain Boundary

1999 ◽  
Vol 6 (4) ◽  
pp. 395-400
Author(s):  
M. Usanetashvili
Keyword(s):  
Dirichlet Problem ◽  
Boundary Value Problem ◽  
Elliptic System ◽  
Domain Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Entire Domain ◽  
Order Elliptic System

Abstract The solvability of the first boundary value problem is investigated for a second order elliptic system with degeneration on the entire domain boundary.

On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Whole Boundary of a Multidimensional Domain

2008 ◽  
Vol 15 (4) ◽  
pp. 793-798
Author(s):  
Mikheil Usanetashvili
Keyword(s):  
Dirichlet Problem ◽  
Boundary Value Problem ◽  
Elliptic System ◽  
Boundary Value ◽  
Second Order ◽  
Entire Boundary ◽  
Order Elliptic System ◽  
Multidimensional Domain

Abstract The solvability of the first boundary value problem is studied for a second order elliptic system with degeneration on the entire boundary of a multidimensional domain.

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.

scholarly journals Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence

2017 ◽  
Vol 15 (1) ◽  
pp. 1549-1557 ◽  
Author(s):  
Yuhua Long ◽  
Baoling Zeng
Keyword(s):  
Boundary Value Problem ◽  
Variational Methods ◽  
Positive Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Parameter Dependence ◽  
Invariant Sets ◽  
Sign Changing Solutions ◽  
Robin Boundary ◽  
Robin Boundary Value Problem

Abstract In this paper, we study second-order nonlinear discrete Robin boundary value problem with parameter dependence. Applying invariant sets of descending flow and variational methods, we establish some new sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions of the system when the parameter belongs to appropriate intervals. In addition, an example is given to illustrate our results.

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