The -membranes problem for quasilinear degenerate systems
José Francisco Rodrigues
FC Universidade de Lisboa, PortugalLisa Santos
Universidade do Minho, Braga, PortugalAssis Azevedo
Universidade Do Minho, Braga, Portugal
Abstract
We study the regularity of the solution of the variational inequality for the problem of -membranes in equilibrium with a degenerate operator of -Laplacian type, , for which we obtain the corresponding Lewy–Stampacchia inequalities. By considering the problem as a system coupled through the characteristic functions of the sets where at least two membranes are in contact, we analyze the stability of the coincidence sets.
Cite this article
José Francisco Rodrigues, Lisa Santos, Assis Azevedo, The -membranes problem for quasilinear degenerate systems. Interfaces Free Bound. 7 (2005), no. 3, pp. 319–337
DOI 10.4171/IFB/127