Nontrivial solutions for singular semilinear elliptic equations on the Heisenberg group

2014 ◽  
Vol 3 (2) ◽  
Author(s):  
Jagmohan Tyagi
Keyword(s):  
Heisenberg Group ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Nontrivial Solutions ◽  
Semilinear Elliptic

scholarly journals Nonexistence Results of Semilinear Elliptic Equations Coupled with the Chern-Simons Gauge Field

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Hyungjin Huh
Keyword(s):  
Gauge Field ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nontrivial Solutions ◽  
Semilinear Elliptic ◽  
Chern Simons

We discuss the nonexistence of nontrivial solutions for the Chern-Simons-Higgs and Chern-Simons-Schrödinger equations. The Derrick-Pohozaev type identities are derived to prove it.

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