Global branching for discontinuous problems

Antonio Ambrosetti; Recalde Marco Calahorrano; Fernando R. Dobarro

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 2, page 213-222
  • ISSN: 0010-2628

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Ambrosetti, Antonio, Calahorrano, Recalde Marco, and Dobarro, Fernando R.. "Global branching for discontinuous problems." Commentationes Mathematicae Universitatis Carolinae 031.2 (1990): 213-222. <http://eudml.org/doc/17838>.

@article{Ambrosetti1990,
author = {Ambrosetti, Antonio, Calahorrano, Recalde Marco, Dobarro, Fernando R.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {elliptic free boundary problem; discontinuous nonlinearity; global branch of positive solutions},
language = {eng},
number = {2},
pages = {213-222},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Global branching for discontinuous problems},
url = {http://eudml.org/doc/17838},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Ambrosetti, Antonio
AU - Calahorrano, Recalde Marco
AU - Dobarro, Fernando R.
TI - Global branching for discontinuous problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 2
SP - 213
EP - 222
LA - eng
KW - elliptic free boundary problem; discontinuous nonlinearity; global branch of positive solutions
UR - http://eudml.org/doc/17838
ER -

References

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  2. A. Ambrosetti M. Calahorrano F. Dobarro, Remarks on the Grad Shafranov equation, Appl. Math. Letters (to appear). MR1077864
  3. A. Ambrosetti P.Hess, Positive solutions of asymptotically linear elliptic eigenvalue problems, J. Math. Anal. Appl. 73 (1980), 411-422. (1980) Zbl0433.35026MR0563992
  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. (1989) MR1003855
  5. A. Ambrosetti R. E. L. Turner, Some discontinuous variational problems, Diff. & Integral Equat. 1 (1988), 341-349. (1988) MR0929921
  6. C. J. Amick R. E. L. Turner, A global branch of steady vortex rings, J. Rein. Angew. Math. 384 (1988), 1-23. (1988) MR0929976
  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. (1981) MR0614246
  8. G. Cimatti, A nonlinear elliptic eigenvalue problem for the Elenbaas equation, Boll. U.M.I. 2-B (1979), 555-565. (1979) Zbl0412.35090MR0546475
  9. L. E. Fraenkel M. S. Berger, A global theory of steady vortex rings in an ideal fluid, Acta Math. 132 (1974), 13-51. (1974) MR0422916
  10. B. Gidas D. M. Ni L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), 209-243. (1979) MR0544879
  11. D. Lupo, A bifurcation result for a Dirichlet problem with discontinuous nonlinearity, Rend. Circ. Mat. Palermo (to appear). Zbl0703.35068MR1029717
  12. B. Kawohl, Rearrangements and convexity of level sets in PDE, Lect. Notes in Math. 1150, Spriger Verlag, 1985. (1985) Zbl0593.35002MR0810619
  13. C. Stuart, Differential equations with discontinuous nonlinearities, Arch. Rat. Mech. Analysis 63 (1976), 59-75. (1976) MR0481227
  14. G. T. Whyburn, Topological Analysis, Princeton Univ. Press, 1958. (1958) Zbl0080.15903MR0099642

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