Bounded Deformations for a Spider Orb Web

SIAM Journal on Mathematical Analysis 2026

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Authors: Giuseppe Di Fazio, M. S. Fanciullo, Antonino Morassi, P. Zamboni
DOI: 10.1137/25m1733781
Cited by: 1
References: 18

Abstract

Abstract. We establish boundedness of solutions to a class of two-weight degenerate elliptic equations, which is motivated by the mechanical model of a spider orb web introduced in Morassi, Soler, and Zaera [ Mech. Syst. Signal Process., 93 (2017), pp. 610–633]. Our results extends the classical boundedness framework to nonuniformly elliptic equations with two weights and covers, in particular, the equation governing the static equilibrium of the spider orb web membrane model.

Fields of Study & Subjects

Advanced Materials and Mechanics Structural Analysis and Optimization Advanced Theoretical and Applied Studies in Material Sciences and Geometry

Publication details

Journal / source
SIAM Journal on Mathematical Analysis
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Volume
58
Issue
2
Pages
1391–1404
Publication date
3 April 2026
Language
EN