Existence Results for Quasilinear Elliptic Equations with Discontinuous Nonlinearities

2002 ◽  
Vol 81 (2) ◽  
pp. 179-199
Author(s):  
Hong-Kun Xu
Keyword(s):  
Elliptic Equations ◽  
Existence Results ◽  
Quasilinear Elliptic Equations ◽  
Discontinuous Nonlinearities ◽  
Quasilinear Elliptic

scholarly journals On singular quasilinear elliptic equations with data measures

2021 ◽  
Vol 10 (1) ◽  
pp. 1284-1300
Author(s):  
Nour Eddine Alaa ◽  
Fatima Aqel ◽  
Laila Taourirte
Keyword(s):  
Elliptic Equation ◽  
Weak Solutions ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equation ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Quasilinear Elliptic Equations ◽  
Main Ingredient ◽  
Uniqueness Results ◽  
Quasilinear Elliptic

Abstract The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the isoperimetric inequality. Finally, uniqueness results for weak solutions are given.

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