scholarly journals A new proof of the boundedness results for stable solutions to semilinear elliptic equations

2019 ◽  
Vol 39 (12) ◽  
pp. 7249-7264 ◽  
Author(s):  
Xavier Cabré ◽  
◽  
◽  
Keyword(s):  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Semilinear Elliptic ◽  
Stable Solutions

scholarly journals Stable solutions to semilinear elliptic equations are smooth up to dimension $9$

2020 ◽  
Vol 224 (2) ◽  
pp. 187-252 ◽  
Author(s):  
Xavier Cabré ◽  
Alessio Figalli ◽  
Xavier Ros-Oton ◽  
Joaquim Serra
Keyword(s):  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Semilinear Elliptic ◽  
Stable Solutions

scholarly journals Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey

2017 ◽  
Vol 17 (2) ◽  
Author(s):  
Xavier Cabré
Keyword(s):  
Elliptic Equations ◽  
Elliptic Problems ◽  
Semilinear Elliptic Equations ◽  
Semilinear Elliptic ◽  
Semilinear Elliptic Problems ◽  
Stable Solutions

AbstractThis article is a survey on boundedness results for stable solutions to semilinear elliptic problems. For these solutions, we present the currently known

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