Existence of renormalized solution of nonlinear elliptic problems with lower order term in Orlicz spaces

2017 ◽  
Vol 66 (2) ◽  
pp. 591-617 ◽  
Author(s):  
H. Moussa ◽  
M. Rhoudaf
Keyword(s):  
Lower Order ◽  
Order Term ◽  
Orlicz Spaces ◽  
Elliptic Problems ◽  
Lower Order Term ◽  
Nonlinear Elliptic Problems ◽  
Renormalized Solution ◽  
Nonlinear Elliptic

scholarly journals Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces

2012 ◽  
Vol 253 (2) ◽  
pp. 635-666 ◽  
Author(s):  
Piotr Gwiazda ◽  
Petra Wittbold ◽  
Aneta Wróblewska ◽  
Aleksandra Zimmermann
Keyword(s):  
Orlicz Spaces ◽  
Elliptic Problems ◽  
Renormalized Solutions ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic

scholarly journals Solutions of nonlinear elliptic problems with lower order terms

2015 ◽  
Vol 6 (1) ◽  
pp. 34-53 ◽  
Author(s):  
Youssef Akdim ◽  
Abdelmoujib Benkirane ◽  
Mostafa El Moumni
Keyword(s):  
Lower Order ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic ◽  
Lower Order Terms

Nonlinear elliptic equations with Hardy potential and lower order term with natural growth

2011 ◽  
Vol 74 (11) ◽  
pp. 3556-3569 ◽  
Author(s):  
Tommaso Leonori ◽  
Pedro J. Martínez-Aparicio ◽  
Ana Primo
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Order Term ◽  
Nonlinear Elliptic Equations ◽  
Lower Order Term ◽  
Natural Growth ◽  
Hardy Potential ◽  
Nonlinear Elliptic

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.

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