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Optimal design problems for the fractional g-Laplacian at prescribed energy level
Abstract
In this work we study two optimal design problems, of hard and soft obstacle type, in fractional Orlicz-Sobolev spaces. We also establish the connection between these problems, and finally we analyze the asymptotic behavior of the quotients Λs,μ(α)/μ with respect to the energy level μ at the endpoints $0$ and +∞.
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BibTeX
@misc{spedaletti2026optimal,
title = {{Optimal design problems for the fractional $g$-Laplacian at prescribed energy level}},
author = {Juan F. Spedaletti},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40997},
eprint = {2610.40997},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40997},
}
RIS
TY - UNPB
TI - Optimal design problems for the fractional g-Laplacian at prescribed energy level
AU - Juan F. Spedaletti
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40997
UR - https://arxiv.org/abs/2610.40997
AB - In this work we study two optimal design problems, of hard and soft obstacle type, in fractional Orlicz-Sobolev spaces. We also establish the connection between these problems, and finally we analyze the asymptotic behavior of the quotients Λ_s,μ(α)/μ with respect to the energy level μ at the endpoints $0$ and +∞.
ER -