scholarly journals Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity

2021 ◽  
Vol 37 (2) ◽  
pp. 209-229
Author(s):  
global sci
Keyword(s):  
Quasilinear Equations ◽  
Sign Changing Solutions

Ground State Solutions for Kirchhoff Type Quasilinear Equations

2019 ◽  
Vol 19 (2) ◽  
pp. 353-373
Author(s):  
Xiangqing Liu ◽  
Junfang Zhao
Keyword(s):  
Ground State ◽  
Quasilinear Equations ◽  
Ground State Solutions ◽  
Kirchhoff Type ◽  
Sign Changing Solutions ◽  
Nehari Method

AbstractIn this paper, we are concerned with quasilinear equations of Kirchhoff type, and prove the existence of ground state signed solutions and sign-changing solutions by using the Nehari method.

Quasilinear Equations via Elliptic Regularization Method

2013 ◽  
Vol 13 (2) ◽  
Author(s):  
Jia-Quan Liu ◽  
Xiang-Qing Liu ◽  
Zhi-Qiang Wang
Keyword(s):  
Elliptic Equations ◽  
Regularization Method ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Equations ◽  
Elliptic Regularization ◽  
Nodal Property ◽  
Quasilinear Problems ◽  
Sign Changing Solutions ◽  
Quasilinear Elliptic

AbstractIn this paper we study a class of quasilinear problems, in particular we deal with multiple sign-changing solutions of quasilinear elliptic equations. We further develop an approach used in our earlier work by exploring elliptic regularization. The method works well in studying multiplicity and nodal property of solutions.

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