TY - JOUR
T1 - On a System of Nonlinear Elliptic Equations Arising in Theoretical Physics
AU - Yang, Yisong
N1 - Funding Information:
1Research supported partially by NSF under grant DMS 9596041.
PY - 2000/1/10
Y1 - 2000/1/10
N2 - In this paper we study a system of nonlinear elliptic equations, known as the "vortex equations" in 2 dimensions, arising from the field-theoretical descriptions of several models in physics. When the underlying space is a closed surface, we prove the existence and uniqueness of a solution under a necessary and sufficient condition. When the space is R2, we establish the existence, uniqueness and sharp decay estimates for a solution.
AB - In this paper we study a system of nonlinear elliptic equations, known as the "vortex equations" in 2 dimensions, arising from the field-theoretical descriptions of several models in physics. When the underlying space is a closed surface, we prove the existence and uniqueness of a solution under a necessary and sufficient condition. When the space is R2, we establish the existence, uniqueness and sharp decay estimates for a solution.
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U2 - 10.1006/jfan.1999.3492
DO - 10.1006/jfan.1999.3492
M3 - Article
AN - SCOPUS:0042995511
SN - 0022-1236
VL - 170
SP - 1
EP - 36
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -