Stability of minimising harmonic maps under W-1,W-p perturbations of boundary data: p >= 2

Li, SR

Li, SR (corresponding author), Rice Univ, Dept Math, MS 136 POB 1892, Houston, TX 77251 USA.; Li, SR (corresponding author), McGill Univ, Dept Math, Burnside Hall,805 St West, Sherbrooke, PQ H3A 0B9, Canada.; Li, SR (corresponding author), New York Univ Shanghai, Off 1146,1555 Century Ave, Shanghai 200122, Peoples R China.; Li, SR (corresponding author), NYU ECNU Inst Math Sci, Room 340,Geog Bldg,3663 North Zhongshan Rd, Shanghai 200062, Peoples R China.; Li, SR (corresponding author), Shanghai

JOURNAL OF DIFFERENTIAL EQUATIONS, 2021; 296 (): 279

Abstract

Let Omega subset of R-3 be a Lipschitz domain. Consider a harmonic map v: Omega -> S-2 with boundary data v vertical bar partial derivative Omega =......

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