A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalues

Milan Kučera

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 2, page 197-207
  • ISSN: 0011-4642

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Kučera, Milan. "A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalues." Czechoslovak Mathematical Journal 32.2 (1982): 197-207. <http://eudml.org/doc/13306>.

@article{Kučera1982,
author = {Kučera, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {eigenvalue problem; variational inequality; branch of solutions},
language = {eng},
number = {2},
pages = {197-207},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalues},
url = {http://eudml.org/doc/13306},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Kučera, Milan
TI - A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalues
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 2
SP - 197
EP - 207
LA - eng
KW - eigenvalue problem; variational inequality; branch of solutions
UR - http://eudml.org/doc/13306
ER -

References

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  1. E. N. Dancer, 10.1512/iumj.1974.23.23087, Indiana Univ. Math. Journ. 23, (1974), 1069-1076. (1974) Zbl0276.47051MR0348567DOI10.1512/iumj.1974.23.23087
  2. M. Kučera, A new method for obtaining eigenvalues of variational inequalities of the special type. Preliminary communication, Comment. Math. Univ. Carol. 18, (1977), 205 - 210. (1977) MR0435909
  3. M. Kučera, A new method for obtaining eigenvalues of variational inequalities. Branches of eigenvalues of the equation with the penalty in a special case, Časopis pro pěstování matematiky, 104 (1979), 295-310. (1979) MR0543230
  4. M. Kučera, A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory, Časopis pro pěstování matematiky, 104 (1979), 389-411. (1979) MR0553173
  5. M. Kučera, Bifurcation points of variational inequalities, Czechoslovak Math. Journ. 32 (107), (1982), 208-226. (1982) MR0654057
  6. M. Kučera J. Nečas J. Souček, The eigenvalue problem for variational inequalities and a new version of the Ljusternik-Schnirelmann theory, In "Nonlinear Analysis", Academic Press, New York-San Francisco-London 1978. (1978) MR0513782
  7. E. Miersemann, 10.1002/mana.19780850116, Math. Nachr. 85 (1978), 195-213. (1978) Zbl0324.49036MR0517651DOI10.1002/mana.19780850116
  8. E. Miersemann, Höhere Eigenwerte von Variationsungleichungen, To appear in Beiträge zur Analysis. Zbl0475.49016MR0663272
  9. G. T. Whyburn, Topological Analysis, Princeton Univ. Press, Princeton, N.J., 1958. (1958) Zbl0080.15903MR0099642

Citations in EuDML Documents

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  1. Lu Zou, Yuan Lei, The descent algorithms for solving symmetric Pareto eigenvalue complementarity problem
  2. Milan Kučera, Bifurcation points of variational inequalities
  3. Milan Kučera, Jiří Neustupa, Destabilizing effect of unilateral conditions in reaction-diffusion systems
  4. Erich Miersemann, On higher eigenvalues of variational inequalities
  5. Pavel Drábek, Milan Kučera, Marta Míková, Bifurcation points of reaction-diffusion systems with unilateral conditions
  6. Pavel Drábek, Milan Kučera, Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions
  7. Milan Kučera, A global continuation theorem for obtaining eigenvalues and bifurcation points
  8. Claudio Saccon, Autovalori di alcune disequazioni variazionali con vincoli puntati sulle derivate
  9. Marco Degiovanni, Bifurcation for odd nonlinear elliptic variational inequalities
  10. Marco Degiovanni, Bifurcation problems for nonlinear elliptic variational inequalities

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