Bounded Deformations for a Spider Orb Web

Authors:
Publisher website
Google Scholar
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.
Funding Information
  • Università degli Studi di Catania (upb 53722122154)
  • MUR (2022JMSP2J)
  • European Union - Next Generation EU
  • Istituto Nazionale di Alta Matematica
  • Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

This publication has 18 references indexed in Scilit: