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

Bounded Deformations for a Spider Orb Web

Di Fazio, G.
;
Fanciullo, M.;Zamboni, P.
2026-01-01

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
2026
degenerate elliptic equations
local boundedness
Morrey spaces
Muckenhoupt weights
nonuni formly elliptic equations
Stummel-Kato classes
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/732409
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