scholarly journals A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions

2010 ◽  
Vol 372 (1) ◽  
pp. 120-139 ◽  
Author(s):  
Alejandro Velez Santiago ◽  
Mahamadi Warma
Keyword(s):  
Boundary Conditions ◽  
Elliptic Equations ◽  
Robin Boundary Conditions ◽  
Nonlocal Robin Boundary Conditions ◽  
Robin Boundary

scholarly journals Diffusion with nonlocal Robin boundary conditions

2018 ◽  
Vol 70 (4) ◽  
pp. 1523-1556 ◽  
Author(s):  
Wolfgang ARENDT ◽  
Stefan KUNKEL ◽  
Markus KUNZE
Keyword(s):  
Boundary Conditions ◽  
Robin Boundary Conditions ◽  
Nonlocal Robin Boundary Conditions ◽  
Robin Boundary

scholarly journals Maximum principles for a class of semilinear elliptic boundary-value problems

1995 ◽  
Vol 52 (1) ◽  
pp. 169-175 ◽  
Author(s):  
Zhang Hailiang
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Elliptic Boundary ◽  
Maximum Principles ◽  
Robin Boundary Conditions ◽  
Elliptic Boundary Value ◽  
Physical Problems ◽  
Semilinear Elliptic ◽  
Robin Boundary

For years it has remained a problem to find suitable functionals satisfying certain maximum principles for solutions of the equation Δu + f(x, u) = 0. In this paper, maximum principles for certain functionals which are defined on solutions of semilinear elliptic equations subject to mixed or Robin boundary conditions are obtained. The principles derived may be used to deduce bounds on important quantities in physical problems of interest.

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