Constraint Minimizers of the Gross-Pitaevskii Functional with Logarithmic Convolution and Ringed Shape Potential
Abstract
We consider a constrained variational problem where the energy functional includes a logarithmic convolution term and an external potential ( ) 2 * a a , we analyze the limiting behavior of positive minimizers, showing that after suitable scaling, they converge to the standard ground state solution ( ) .We also derive asymp- totic estimates for the location of the maximum points of minimizers.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- OALib
- Volume
- 13
- Issue
- 02
- Pages
- 1–13
- Publication date
- 1 January 2026
- Language
- EN