Continuous dependence on the data for nonlinear elliptic equations with a lower order term

2014 ◽  
Vol 63 (S1) ◽  
pp. 41-56 ◽  
Author(s):  
M. F. Betta ◽  
A. Mercaldo ◽  
R. Volpicelli
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Continuous Dependence ◽  
Order Term ◽  
Nonlinear Elliptic Equations ◽  
Lower Order Term ◽  
Nonlinear Elliptic

Uniqueness results for nonlinear elliptic equations with a lower order term

2005 ◽  
Vol 63 (2) ◽  
pp. 153-170 ◽  
Author(s):  
M. Francesca Betta ◽  
Anna Mercaldo ◽  
François Murat ◽  
M. Michaela Porzio
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Order Term ◽  
Nonlinear Elliptic Equations ◽  
Lower Order Term ◽  
Nonlinear Elliptic ◽  
Uniqueness Results

scholarly journals Nonlinear elliptic equations with variable exponents involving singular nonlinearity

2021 ◽  
Vol 8 (4) ◽  
pp. 705-715
Author(s):  
H. Khelifi ◽  
◽  
Y. El Hadfi ◽  
◽  
Keyword(s):  
Sobolev Spaces ◽  
Lower Order ◽  
Elliptic Equations ◽  
Order Term ◽  
Nonlinear Elliptic Equations ◽  
Variable Exponents ◽  
Singular Nonlinearity ◽  
Nonlinear Elliptic ◽  
Regularizing Effects ◽  
Lower Order Terms

In this paper, we prove the existence and regularity of weak positive solutions for a class of nonlinear elliptic equations with a singular nonlinearity, lower order terms and L1 datum in the setting of Sobolev spaces with variable exponents. We will prove that the lower order term has some regularizing effects on the solutions. This work generalizes some results given in [1–3].

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