Geodesic
The $N$-membranes problem for quasilinear degenerate systems
Assis Azevedo1 ; José Francisco Rodrigues2 orcid ; Lisa Santos3
1Universidade Do Minho, Braga, Portugal
2FC Universidade de Lisboa, Portugal
3Universidade do Minho, Braga, Portugal
Interfaces and free boundaries, Tome 7 (2005) no. 3, pp. 319-337

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DOI

We study the regularity of the solution of the variational inequality for the problem of N-membranes in equilibrium with a degenerate operator of p-Laplacian type, 1<p<∞, 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.
DOI : 10.4171/ifb/127
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Assis Azevedo  1   ; José Francisco Rodrigues  2   ; Lisa Santos  3

1 Universidade Do Minho, Braga, Portugal
2 FC Universidade de Lisboa, Portugal
3 Universidade do Minho, Braga, Portugal 
Assis Azevedo; José Francisco Rodrigues; Lisa Santos. The $N$-membranes problem for quasilinear degenerate systems. Interfaces and free boundaries, Tome 7 (2005) no. 3, pp. 319-337. doi: 10.4171/ifb/127
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