Convergence for radially symmetric solutions of quasilinear elliptic equations is generic

1998 ◽  
Vol 311 (1) ◽  
pp. 177-197
Author(s):  
Stanislaus Maier-Paape
Keyword(s):  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Radially Symmetric Solutions ◽  
Quasilinear Elliptic

scholarly journals Multiplicity of Radially Symmetric Small Energy Solutions for Quasilinear Elliptic Equations Involving Nonhomogeneous Operators

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 128
Author(s):  
Jun Ik Lee ◽  
Yun-Ho Kim
Keyword(s):  
Elliptic Equations ◽  
Quasilinear Elliptic Equation ◽  
Functional Method ◽  
Quasilinear Elliptic Equations ◽  
Fountain Theorem ◽  
Small Energy ◽  
Dual Fountain Theorem ◽  
Radially Symmetric Solutions ◽  
Quasilinear Elliptic ◽  
Modified Functional

We investigate the multiplicity of radially symmetric solutions for the quasilinear elliptic equation of Kirchhoff type. This paper is devoted to the study of the L ∞ -bound of solutions to the problem above by applying De Giorgi’s iteration method and the localization method. Employing this, we provide the existence of multiple small energy radially symmetric solutions whose L ∞ -norms converge to zero. We utilize the modified functional method and the dual fountain theorem as the main tools.

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