Nonlinear potential equations with linear parts at resonance

Svatopluk Fučík

Časopis pro pěstování matematiky (1978)

  • Volume: 103, Issue: 1, page 78-94
  • ISSN: 0528-2195

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Fučík, Svatopluk. "Nonlinear potential equations with linear parts at resonance." Časopis pro pěstování matematiky 103.1 (1978): 78-94. <http://eudml.org/doc/21328>.

@article{Fučík1978,
author = {Fučík, Svatopluk},
journal = {Časopis pro pěstování matematiky},
keywords = {critical point principle; nonlinear potential real equations; nonlinear elliptic boundary value problem},
language = {eng},
number = {1},
pages = {78-94},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Nonlinear potential equations with linear parts at resonance},
url = {http://eudml.org/doc/21328},
volume = {103},
year = {1978},
}

TY - JOUR
AU - Fučík, Svatopluk
TI - Nonlinear potential equations with linear parts at resonance
JO - Časopis pro pěstování matematiky
PY - 1978
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 103
IS - 1
SP - 78
EP - 94
LA - eng
KW - critical point principle; nonlinear potential real equations; nonlinear elliptic boundary value problem
UR - http://eudml.org/doc/21328
ER -

References

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  1. S. Ahmad A. C. Lazer J. L. Paul, Elementary critical point theory and perturbations of elliptic boundary value problems at resonance, Indiana Univ. Math. Jour. 25, 1976, 933- 944. (1976) Zbl0351.35036MR0427825
  2. A. Ambrosetti-G. Mancini, Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. I: The case of simple eigenvalue, (to appear). Zbl0393.35032MR0492839
  3. A. Ambrosetti-G. Mancini, Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part, (to appear). Zbl0375.35024MR0487001
  4. H. Brezis, L. Nirenberg, Characterizations of the ranges of some nonlinear operators and applications to boundary value problems, (to appear). Zbl0386.47035MR0513090
  5. S. Fučík, Further remark on a theorem by E. M. Landesman and A. C Lazer, Comment. Math. Univ. Carolinae I5, 1974, 259-271. (1974) MR0348260
  6. S. Fučík, Surjectivity of operators involving linear noninvertible part and nonlinear compact perturbation, Funkcialaj Ekvacioj 17, 1974, 73-83. (1974) Zbl0294.47041MR0365255
  7. S. Fučík, Nonlinear equations with noninvertible linear part, Czech. Math. Journal 24, 1974, 467-495. (1974) Zbl0315.47038MR0348568
  8. S. Fučík, Remarks on some nonlinear boundary value problems, Comment. Math. Univ. Carolinae I 7, 1976, 721-730. (1976) Zbl0353.34023MR0427724
  9. S. Fučík, M. Krbec, Boundary value problem with bounded nonlinearity and general null- space of the linear part, Math. Z. I55, 1977, 129-138. (1977) Zbl0337.35034MR0473513
  10. S. Fučík, M. Kučera-J. Nečas, Ranges of nonlinear asymptotically linear operators, J. Differential Equations 17, 1975, 375-394. (1975) Zbl0299.47035MR0372696
  11. R. E. Gaines-J. L. Mawhin, Coincidence degree, and nonlinear differential equations, Lecture Notes in Mathematics No 568. Springer Verlag 1977. (1977) Zbl0339.47031MR0637067
  12. P. Hess, A remark on a preceding paper of Fučík and Krbec, Math. Z. I55,1977,139-141. (1977) Zbl0356.35030MR0473514
  13. J. L. Kazdan, F. W. Warner, Remarks on quasilinear elliptic equations, Comm. Pure Appl. Math. 28, 1975,567-597. (1975) Zbl0325.35038MR0477445
  14. E. M. Landesman, A. C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. IP, 1970, 609-623. (1970) Zbl0193.39203MR0267269
  15. J. Nečas, Les merhodes directes en theorie des Equations elliptiques, Academia, Prague 1967. (1967) MR0227584
  16. J. Nečas, On the range of nonlinear operators with linear asymptotes which are not in- vertible, Comment. Math. Univ. Carolinae I4, 1973, 63-72. (1973) Zbl0257.47032MR0318995

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