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Academic Report of SMS 2025-39

TitleExistence of solutions for a class of Schrodinger equations with singular term

Abstract:In this talk, we first consider the modified elliptic problem in regular bounded domain ou whole space. By using sub and supersolution methods  and variational methods, we establish the existence of two nontrivial solutions with appropriate exponents and potentials. Next, we consider the multi-regime problem: strongly singular and Brezis-Kamin type. We are able to prove fine estimates to determine conditions under which the unique distributional solution has finite or non-finite energy.

Speaker:Jiazheng Zhou

Date:2025-7-23(15:00-17:30)

Venue: 327

Organizer:School of Mathematical Science

Inviter:Zhigui Lin

Students and teachers are welcome.


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