Abstract
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.
Highlights
Introduction and Main ResultsIn this paper, we are concerned with the nonexistence of nontrivial solutions to some elliptic equations coupled with Chern-Simons gauge field
The following Chern-Simons gauged Schrodinger system was proposed in [11] when the second quantized N body anyon problem is considered iD0ψ + (D1D1 + D2D2) ψ − V (φ2) φ = 0
We prove the following nonexistence result, under various conditions on V, for (12)–(15)
Summary
Introduction and Main ResultsIn this paper, we are concerned with the nonexistence of nontrivial solutions to some elliptic equations coupled with Chern-Simons gauge field. If one of the following conditions is satisfied, we have φ ≡ 0. Note that for the self-dual potential V(|φ|2) = (1/4)|φ|2(|φ|2 − 1)2, we have dV The following Chern-Simons gauged Schrodinger system was proposed in [11] when the second quantized N body anyon problem is considered iD0ψ + (D1D1 + D2D2) ψ − V (φ2) φ = 0, In the special case with the potential V(|φ|2) = −(1/2)|φ|4, we can derive the following self dual equations [11–13]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
