About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Ambrosetti, Antonio ; Calahorrano, Recalde Marco ; Dobarro, Fernando R.
Global branching for discontinuous problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 213-222
MSC: 35B32, 35J60, 35J65, 35R05, 35R35, 82A45, 82D10 | MR 1077891 | Zbl 0732.35101
References:
[1] A. Ambrosetti M. Badiale: The dual variational principle and elliptic problems with disconiiuous nonlinearities. J . Math. Analysis Appl. 140-2 (1989), 363-373. MR 1001862
[2] A. Ambrosetti M. Calahorrano F. Dobarro: Remarks on the Grad Shafranov equation. Appl. Math. Letters (to appear). MR 1077864
[3] A. Ambrosetti P.Hess: Positive solutions of asymptotically linear elliptic eigenvalue problems. J. Math. Anal. Appl. 73 (1980), 411-422. MR 0563992 | Zbl 0433.35026
[4] A. Ambrosetti M. Struwe: Existence of steady vortex rings in an ideal fluid. Arch. Rat. Mech. k Analysis, to appear; and Appl. Math. Letters 2-2 (1989), 183-186. MR 1003855
[5] A. Ambrosetti R. E. L. Turner: Some discontinuous variational problems. Diff. & Integral Equat. 1 (1988), 341-349. MR 0929921
[6] C. J. Amick R. E. L. Turner: A global branch of steady vortex rings. J. Rein. Angew. Math. 384 (1988), 1-23. MR 0929976
[7] K. C. Chang: Variational methods for non-differentiate functionals and their applications to partial differential equations. J. Math. Analysis Appl. 80 (1981), 102-129. MR 0614246
[8] G. Cimatti: A nonlinear elliptic eigenvalue problem for the Elenbaas equation. Boll. U.M.I. 2-B (1979), 555-565. MR 0546475 | Zbl 0412.35090
[9] L. E. Fraenkel M. S. Berger: A global theory of steady vortex rings in an ideal fluid. Acta Math. 132 (1974), 13-51. MR 0422916
[10] B. Gidas D. M. Ni L. Nirenberg: Symmetry and related properties via the maximum principle. Comm. Math. Phys. 68 (1979), 209-243. MR 0544879
[11] D. Lupo: A bifurcation result for a Dirichlet problem with discontinuous nonlinearity. Rend. Circ. Mat. Palermo (to appear). MR 1029717 | Zbl 0703.35068
[12] B. Kawohl: Rearrangements and convexity of level sets in PDE. Lect. Notes in Math. 1150, Spriger Verlag, 1985. MR 0810619 | Zbl 0593.35002
[13] C. Stuart: Differential equations with discontinuous nonlinearities. Arch. Rat. Mech. Analysis 63 (1976), 59-75. MR 0481227
[14] G. T. Whyburn: Topological Analysis. Princeton Univ. Press, 1958. MR 0099642 | Zbl 0080.15903
Partner of
EuDML logo