Year: 2026
Type: preprint
Abstract: We prove the existence of multi-peak solutions for singularly perturbed elliptic problems in the so-called zero-mass case by applying the classical Lyapunov-Schmidt reduction method. The goal is to construct solutions concentrating around several distinct interior points of the domain, identified as nondegenerate critical points of a potential.
Source: arXiv (Cornell University)
Author: Demuth, Léo
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7208740370