Behavior of solutions of quasilinear elliptic inequalities in an unbounded domain

1996 ◽  
Vol 60 (4) ◽  
pp. 415-424
Author(s):  
A. B. Shapoval
Keyword(s):  
Unbounded Domain ◽  
Quasilinear Elliptic ◽  
Elliptic Inequalities

scholarly journals Quasilinear elliptic inequalities with Hardy potential and nonlocal terms

2020 ◽  
pp. 1-19
Author(s):  
Marius Ghergu ◽  
Paschalis Karageorgis ◽  
Gurpreet Singh
Keyword(s):  
Riesz Potential ◽  
Sufficient Conditions ◽  
Hardy Potential ◽  
Existence Of Positive Solutions ◽  
Elliptic Inequality ◽  
Image Position ◽  
Nonlocal Terms ◽  
Necessary And Sufficient ◽  
Quasilinear Elliptic ◽  
Elliptic Inequalities

We study the quasilinear elliptic inequality \[ -\Delta_m u - \frac{\mu}{|x|^m}u^{m-1} \geq (I_\alpha*u^p)u^q \quad\mbox{in }\mathbb{R}^N\setminus \overline B_1, N\geq 1, \] where $p>0$ , $q, \mu \in \mathbb {R}$ , $m>1$ and $I_\alpha$ is the Riesz potential of order $\alpha \in (0,N)$ . We obtain necessary and sufficient conditions for the existence of positive solutions.

scholarly journals Quasilinear elliptic inequalities on complete Riemannian manifolds

2007 ◽  
Vol 87 (6) ◽  
pp. 582-600 ◽  
Author(s):  
Paolo Antonini ◽  
Dimitri Mugnai ◽  
Patrizia Pucci
Keyword(s):  
Riemannian Manifolds ◽  
Complete Riemannian Manifolds ◽  
Quasilinear Elliptic ◽  
Elliptic Inequalities

Behavior of solutions of quasilinear elliptic inequalities containing terms with lower-order derivatives

1998 ◽  
Vol 64 (6) ◽  
pp. 817-821
Author(s):  
A. A. Kon'kov
Keyword(s):  
Lower Order ◽  
Quasilinear Elliptic ◽  
Elliptic Inequalities

scholarly journals On solutions of quasilinear elliptic inequalities containing terms with lower-order derivatives

2013 ◽  
Vol 90 ◽  
pp. 121-134 ◽  
Author(s):  
Andrej A. Kon’kov
Keyword(s):  
Lower Order ◽  
Quasilinear Elliptic ◽  
Elliptic Inequalities

Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities

2007 ◽  
pp. 147-155 ◽  
Author(s):  
Lorenzo D’Ambrosio ◽  
Enzo Mitidieri
Keyword(s):  
Positivity Property ◽  
Quasilinear Elliptic ◽  
Elliptic Inequalities
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