Existence and nonexistence of solutions for some nonlinear elliptic equations

1997 ◽  
Vol 73 (1) ◽  
pp. 203-223 ◽  
Author(s):  
Lucio Boccardo ◽  
Thierry GallouËt ◽  
Luigi Orsina
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic ◽  
Existence And Nonexistence ◽  
Nonexistence Of Solutions

Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions

2016 ◽  
Vol 8 (1) ◽  
pp. 193-202 ◽  
Author(s):  
Abdellaziz Harrabi ◽  
Belgacem Rahal
Keyword(s):  
Elliptic Equations ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Nonlinear Elliptic Equations ◽  
Monotonicity Formula ◽  
Compact Set ◽  
Liouville Type ◽  
Nonlinear Elliptic ◽  
Liouville Type Theorems ◽  
Nonexistence Of Solutions

Abstract In this paper we study the nonexistence of solutions, which are stable or stable outside a compact set, possibly unbounded and sign-changing, of some nonlinear elliptic equations with mixed boundary value conditions. The main methods used are the integral estimates and the monotonicity formula.

scholarly journals Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Limei Dai ◽  
Huihui Cheng ◽  
Hongfei Li
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Classical Solutions ◽  
Radial Solutions ◽  
Fully Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic ◽  
Hessian Equations ◽  
Existence And Nonexistence ◽  
Moving Plane ◽  
Monge Ampere

AbstractFirst, the symmetry of classical solutions to the Monge–Ampère-type equations is obtained by the moving plane method. Then, the existence and nonexistence of radial solutions in a ball are got from the symmetry results. Finally, the existence and nonexistence of classical solutions to Hessian equations in bounded domains are considered.

A new concept of reduced measure for nonlinear elliptic equations

2004 ◽  
Vol 339 (3) ◽  
pp. 169-174 ◽  
Author(s):  
Haïm Brezis ◽  
Moshe Marcus ◽  
Augusto C. Ponce
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic
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