PreprintCC BY 4.0arXiv
Existence of multi-peak solutions for singularly perturbed problems in the zero-mass case
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.
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BibTeX
@misc{demuth2026existence,
title = {{Existence of multi-peak solutions for singularly perturbed problems in the zero-mass case}},
author = {Léo Demuth},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03135},
eprint = {2609.03135},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03135},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Existence of multi-peak solutions for singularly perturbed problems in the zero-mass case
AU - Léo Demuth
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.03135
UR - https://arxiv.org/abs/2609.03135
AB - 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.
ER -