Existence of solutions of integro-differential semilinear elliptic equations

2021 ◽  
pp. 1-19
Author(s):  
Francisco J. S. A. Correa ◽  
Natan de Assis Lima ◽  
Romildo N. de Lima
Mathematica ◽  
2021 ◽  
Vol 63 (86) (1) ◽  
pp. 23-31
Author(s):  
Badajena Arun Kumar ◽  
Pradhan Shesadev

We study the existence of a weak solution for a certain degenerate semilinear elliptic problem.


2014 ◽  
Vol 14 (4) ◽  
Author(s):  
Annamaria Canino ◽  
Mascia Grandinetti ◽  
Berardino Sciunzi

AbstractWe consider a jumping problem for singular semilinear elliptic equations. Existence of two distinct solutions is proved via a truncation argument and exploiting minimax methods to prove the existence of solutions to the truncated problem. In the final step, to pass to the limit, a refined analysis about the behavior of the solutions is required, because of the singular nature of the problem.


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