Regularizing effects of some lower order terms in non-uniformly nonlinear elliptic equations

2009 ◽  
Vol 58 (2) ◽  
pp. 185-205
Author(s):  
Abdelmoujib Benkirane ◽  
Ahmed Youssfi
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic ◽  
Regularizing Effects ◽  
Lower Order Terms

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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