Topological degree for positive solutions of single-component and two-component Bose-Einstein condensates

Speaker: 余伟林 讲师 江西师范大学

Inviter: 秦国林

Title: Topological degree for positive solutions of single-component and two-component Bose-Einstein condensates

Language: Chinese

Time & Venue: 2026.07.21   16:00-17:00    南楼N933

Abstract: We drive Leray-Schauder degree formulas for positive solutions of single-component and two-component Bose-Einstein condensates in two dimensions, respectively, and thus prove the existence of non-trivial solutions. By showing “isolated” property of bubbling solutions, the calculation of degree formula is translated into computing Morse index of each bubbling solution.