学术报告
常小军:Normalized solutions of nonlinear Schrodinger equations with exponential critical growth

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

常小军,东北师范大学

Inviter: 彭发
Title:
Normalized solutions of nonlinear Schrodinger equations with exponential critical growth
Language: English&Chinese
Time & Venue:
2023.05.13 15:00-16:00 腾讯会议:895-566-141
Abstract:

In this talk, we consider normalized solutions of nonlinear Schrodinger equations in the plane when the nonlinearity satisfies an exponential critical growth. To study the normalized solutions by using variational methods, the Ambrosetti-Rabinowitz type condition plays an important role. By introducing a new energy estimate, we prove the existence of normalized ground state solutions under a weak monotonicity condition but not the Ambrosetti-Rabinowitz type condition.