Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions

Peter Hess

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)

  • Volume: 5, Issue: 3, page 527-537
  • ISSN: 0391-173X

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Hess, Peter. "Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.3 (1978): 527-537. <http://eudml.org/doc/83789>.

@article{Hess1978,
author = {Hess, Peter},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Leray-Schauder Degree Theory; Nonlinear Perturbations; Elliptic Differntial Operator; Nonlinear Equation; Resonances; Parabolic Differential Operators},
language = {eng},
number = {3},
pages = {527-537},
publisher = {Scuola normale superiore},
title = {Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions},
url = {http://eudml.org/doc/83789},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Hess, Peter
TI - Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 3
SP - 527
EP - 537
LA - eng
KW - Leray-Schauder Degree Theory; Nonlinear Perturbations; Elliptic Differntial Operator; Nonlinear Equation; Resonances; Parabolic Differential Operators
UR - http://eudml.org/doc/83789
ER -

References

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  1. [1] A. Ambrosetti - G. Mancini, Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance (to appear). Zbl0393.35032
  2. [2] A. Ambrosetti - G. Mancini, Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part, Ann. Scuola Norm. Sup. Pisa5 (1978), pp. 15-28. Zbl0375.35024MR487001
  3. [3] H. Brézis, Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, Contributions to Nonlinear Functional Analysis, E. Zarantonello ed., Academic Press, 1971. Zbl0278.47033MR394323
  4. [4] H. Brezis - L. Nirenberg, Characterizations of the ranges of some nonlinear operators and applications to boundary value problems, Ann. Scuola Norm. Sup. Pisa5 (1978), pp. 225-326. Zbl0386.47035MR513090
  5. [5] S Fučik - M. Krbec, Boundary value problems with bounded nonlinearity and general null-space of the linear part, Math. Z.155 (1977), pp. 129-138. Zbl0337.35034MR473513
  6. [6] P. Hess, A remark on the preceding paper of Fučik and Krbec, Math. Z.155 (1977), pp. 139-141. Zbl0356.35030MR473514
  7. [7] E.M. Landesman - A.C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech., 19 (1970), pp. 609-623. Zbl0193.39203MR267269
  8. [8] S. Mizohata, The Theory of Partial Differential Equations, Cambridge University Press, 1973. Zbl0263.35001MR599580

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