Boundary bubbling analysis of approximate harmonic maps under either weak or strong anchoring conditions in dimension two

Abstract

In this paper, we will study the bubbling phenomena of approximate harmonic maps in dimension two that have either (i) bounded $L^2$-tension fields under the weak anchoring condition, or (ii) bounded $L\log L\cap M^{1,\delta }$-tension fields under the strong anchoring condition.

32 pages

References in corpus (1)

• Introduction to Q-tensor theory