REFINED SPIKE PROFILES OF CONSTRAINT MINIMIZERS FOR THE PLANAR SCHRODINGER-POISSON SYSTEM WITH LOGARITHMIC POTENTIALS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS(2024)
Abstract
This paper is concerned with constraint minimizers of the planar Schrodinger-Poisson system with a logarithmic convolution potential and a logarithmic external potential V (x) = ln(1+|x|(2)). It is known that minimizers exist if and only if the particle mass p > 0 satisfies p < p* for some threshold p* is an element of(0, infinity). As a continuation of [22], this paper is devoted to analyzing the refined spike profiles of constraint minimizers as p NE arrow p*.
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Key words
The planar Schrodinger-Poisson system,constraint minimizers,loga-rithmic potentials,asymptotic expansions,refined spike profiles
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