scholarly journals Elliptic problems involving the 1–Laplacian and a singular lower order term

2018 ◽  
Vol 99 (2) ◽  
pp. 349-376 ◽  
Author(s):  
V. De Cicco ◽  
D. Giachetti ◽  
S. Segura de León
Keyword(s):  
Lower Order ◽  
Order Term ◽  
Elliptic Problems ◽  
Lower Order Term

The Regularizing Effect of Lower Order Terms in Elliptic Problems Involving Hardy Potential

2017 ◽  
Vol 17 (2) ◽  
Author(s):  
A. Adimurthi ◽  
Lucio Boccardo ◽  
G. Rita Cirmi ◽  
Luigi Orsina
Keyword(s):  
Lower Order ◽  
Order Term ◽  
Elliptic Problems ◽  
Lower Order Term ◽  
Hardy Potential ◽  
Lower Order Terms

AbstractWe study existence and summability of solutions for elliptic problems with a power-like lower order term and a Hardy potential. We prove that, due to the presence of the lower order term, solutions exist and are more summable under weaker assumptions than those needed for the existence without it.

Elliptic equations with general singular lower order term and measure data

2015 ◽  
Vol 128 ◽  
pp. 391-411 ◽  
Author(s):  
Linda Maria De Cave ◽  
Francescantonio Oliva
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Order Term ◽  
Lower Order Term ◽  
Measure Data
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