scholarly journals Elliptic problems with a Hardy potential and critical growth in the gradient: Non-resonance and blow-up results

2007 ◽  
Vol 239 (2) ◽  
pp. 386-416 ◽  
Author(s):  
Boumediene Abdellaoui ◽  
Ireneo Peral ◽  
Ana Primo
Keyword(s):  
Blow Up ◽  
Elliptic Problems ◽  
Critical Growth ◽  
Hardy Potential

scholarly journals FOUNTAIN-LIKE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTH AND HARDY POTENTIAL

2005 ◽  
Vol 07 (06) ◽  
pp. 867-904 ◽  
Author(s):  
VERONICA FELLI ◽  
SUSANNA TERRACINI
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equation ◽  
Blow Up ◽  
Nonlinear Elliptic Equations ◽  
Critical Growth ◽  
Hardy Potential ◽  
Nonlinear Elliptic ◽  
Hardy Type ◽  
Type Potential

We prove the existence of fountain-like solutions, obtained by superposition of bubbles of different blow-up orders, for a nonlinear elliptic equation with critical growth and Hardy-type potential.

scholarly journals Localization of solutions for nonlinear elliptic problems with critical growth

2006 ◽  
Vol 343 (11-12) ◽  
pp. 725-730 ◽  
Author(s):  
Rejeb Hadiji ◽  
Riccardo Molle ◽  
Donato Passaseo ◽  
Habib Yazidi
Keyword(s):  
Elliptic Problems ◽  
Critical Growth ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic

scholarly journals Multiplicity results for Kirchhoff type elliptic problems with Hardy potential

2019 ◽  
Vol 38 (4) ◽  
pp. 31-50
Author(s):  
M. Bagheri ◽  
Ghasem A. Afrouzi
Keyword(s):  
Local Minimum ◽  
Nonlinear Term ◽  
Existence Of Solutions ◽  
Mountain Pass Theorem ◽  
Elliptic Problems ◽  
Mountain Pass ◽  
Hardy Potential ◽  
Multiplicity Results ◽  
Kirchhoff Type ◽  
Minimum Theorem

In this paper, we are concerned with the existence of solutions for fourth-order Kirchhoff type elliptic problems with Hardy potential. In fact, employing a consequence of the local minimum theorem due to Bonanno and mountain pass theorem we look into the existence results for the problem under algebraic conditions with the classical Ambrosetti-Rabinowitz (AR) condition on the nonlinear term. Furthermore, by combining two algebraic conditions on the nonlinear term using two consequences of the local minimum theorem due to Bonanno we ensure the existence of two solutions, applying the mountain pass theorem given by Pucci and Serrin we establish the existence of third solution for our problem.

scholarly journals Fractional KPZ equations with critical growth in the gradient respect to Hardy potential

2020 ◽  
Vol 201 ◽  
pp. 111942
Author(s):  
Boumediene Abdellaoui ◽  
Ireneo Peral ◽  
Ana Primo ◽  
Fernando Soria
Keyword(s):  
Critical Growth ◽  
Hardy Potential
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