Asymptotic behaviour of solutions of nondivergence type semilinear elliptic equations in conical domains I

2011 ◽  
Vol 71 (4) ◽  
pp. 227-243
Author(s):  
Mikhail Surnachev
Keyword(s):  
Asymptotic Behaviour ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Semilinear Elliptic ◽  
Asymptotic Behaviour Of Solutions

scholarly journals Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations

2013 ◽  
Vol 143 (5) ◽  
pp. 957-1019 ◽  
Author(s):  
Veronica Felli ◽  
Alberto Ferrero
Keyword(s):  
Asymptotic Expansion ◽  
Asymptotic Behaviour ◽  
Boundary Point ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Semilinear Elliptic ◽  
Conical Surfaces ◽  
Monotonicity Methods

A monotonicity approach to the study of the asymptotic behaviour near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence of logarithms in the first term of the asymptotic expansion is excluded for boundary profiles sufficiently close to straight conical surfaces.

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