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arXiv · 2610.40997

Optimal design problems for the fractional $g$-Laplacian at prescribed energy level

Juan F. Spedaletti
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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 $Λ_{s,μ}(α)/μ$ with respect to the energy level $μ$ at the endpoints $0$ and $+\infty$.

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Juan F. Spedaletti. 2026-10-29. Optimal design problems for the fractional $g$-Laplacian at prescribed energy level. https://arxiv.org/abs/2610.40997

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