Work

New type of solutions for Schrödinger equations with critical growth

Year: 2024

Type: article

Abstract: We consider the following nonlinear Schrödinger equations with critical growth: −Δu+V(|y|)u=uN+2N−2,u>0inRN, where V(|y|) is a bounded positive radial function in C1, N ≥ 5. By using a finite reduction argument, we show that if r2V(r) has either an isolated local maximum or an isolated local minimum at r0 > 0 with V(r0) > 0, there exists infinitely many non-radial large energy solutions which are invariant under some sub-groups of O(3).

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0206967

Authors: Yuan Gao, Yuxia Guo

Institution: Tsinghua University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G1167383289, G4104311648, G7148679336