no. 5
Finite element approximation of a non-Lipschitz nonlinear eigenvalue problem
ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 5, pp. 627-656. 
@article{M2AN_1992__26_5_627_0,
     author = {Barrett, J. W.},
     title = {Finite element approximation of a {non-Lipschitz} nonlinear eigenvalue problem},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {627--656},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {26},
     number = {5},
     year = {1992},
     mrnumber = {1177390},
     zbl = {0761.65079},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_1992__26_5_627_0/}
}
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Barrett, J. W. Finite element approximation of a non-Lipschitz nonlinear eigenvalue problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 5, pp. 627-656. http://archive.numdam.org/item/M2AN_1992__26_5_627_0/

D. G. Aronson and L. A Peletier, 1981, Large time behaviour of solutions of the porous medium equation in bounded domains J. Differ. Eq, 39, 378-412. | Zbl

J. W. Barrett and C. M. Elliott, 1989, Finite element approximation of a plasma equilibrium problem IMA J. Numer Anal., 9, 443-464. | Zbl

J. W Barrett and C M. Elliott, 1991, Finite element approximation of a free boundary problem arising in the theory of liquid drops and plasma physics R.A.I.R.O. M2.A N., 25, 213-252. | Numdam | Zbl

J. W. Barrett and R. M. Shanahan, 1991, Finite element approximation of a model reaction-diffusion equation with a non-Lipschitz nonlinearity. Numer. Math., 59, 217-242. | Zbl

G. Caloz, 1991, Approximation by finite element method of the model plasma problem R.A.I.R.O. M2.A.N., 25, 49-66. | Numdam | Zbl

P. G. Ciarlet and P. A. Raviart, 1973, Maximum principle and uniform convergence for the finite element method. Comp. Meth. Appl. Mech Engrg., 2, 17-31. | Zbl

F. Conrad and P. Cortey-Dumont, 1987a, b, Nonlinear eigenvalue problems in elliptic variational inequalities : some results for the maximal branch. Part 1 : Approximation of solutions. Part 2 : Estimates for the free boundaries and « stability » results. Numer. Funct. Anal. Optim., 9 and 10, 1059-1090, 1091-1114. | Zbl

M. Crouzeix and J. Rappaz, 1990, On Numerical Approximation in Bifurcation Theory. Springer-Verlag, Berlin. | Zbl

A. Eydeland and B. Turkington, 1988, A computational method of solving free-boundary problems in vortex dynamics. J. Comput. Phys., 78, 194-214. | Zbl

A. Friedman, 1969, Partial Differential Equations. Holt, Reinhart & Winston. New York. | Zbl

D. Gilbarg and N. S. Trudinger, 1983, Elliptic Partial Differential Equations of Second Order. 2nd Edition. Springer, Berlin, Heidelberg. | Zbl

V. Girault and P. A. Raviart, 1982, An analysis of upwind schemes for the Navier-Stokes equations. SIAM J. Numer. Anal., 19, 312-333. | Zbl

R. H. Nochetto, 1988, Sharp L∞-error estimates for semilinear elliptic problems with free boundaries. Numer. Math., 54, 243-255. | MR | Zbl

G. Strang and G. Fix, 1973, An Analysis of the Finite Element Method. Prentice-Hall, New Jersey. | MR | Zbl

L. B. Wahlbin, 1990, Local behaviour in finite element methods, in : Handbook of Numerical Analysis Vol. 2 (P. G. Ciarlet and J. L. Lions, Eds. ). North Holland, Amsterdam. | MR | Zbl