Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part

Antonio Ambrosetti; Giovanni Mancini

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

  • Volume: 5, Issue: 1, page 15-28
  • ISSN: 0391-173X

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Ambrosetti, Antonio, and Mancini, Giovanni. "Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.1 (1978): 15-28. <http://eudml.org/doc/83774>.

@article{Ambrosetti1978,
author = {Ambrosetti, Antonio, Mancini, Giovanni},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {15-28},
publisher = {Scuola normale superiore},
title = {Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part},
url = {http://eudml.org/doc/83774},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Ambrosetti, Antonio
AU - Mancini, Giovanni
TI - Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 1
SP - 15
EP - 28
LA - eng
UR - http://eudml.org/doc/83774
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 on J. Diff. Eq. Zbl0393.35032
  2. [2] P.H. Rabinowitz, Some minimax theorems and applications to nonlinear partial differential equations, to appear. Zbl0466.58015MR501092
  3. [3] S Fučik - M. Krbeč, Boundary value problems with bounded nonlinearity and general null space of the linear part, to appear on Math. Z. Zbl0337.35034MR473513
  4. [4] P. Hess, A remark on a preceding paper of Fučik and Krbeč, to appear on Math. Z. Zbl0356.35030MR473514
  5. [5] J.T. Schwartz, Nonlinear functional analysis, Gordon and Breach Intersc. Publ. (1969). Zbl0203.14501MR433481
  6. [6] S. Ahmad - A.C. Lazer - J.L. Paul, Elementary critical point theory and perturbation of elliptic boundary value problems at resonance, Indiana Univ. Math. J., 25 (1976), pp. 933-944. Zbl0351.35036MR427825
  7. [7] A. Ambrosetti, On the existence of multiple solutions for a class of nonlinear boundary value problems, Rend. Sem. Mat. Univ. Padova, 49 (1973), pp. 195-204. Zbl0273.35037MR336068
  8. [8] E.N. Dancer, On a nonlinear elliptic boundary value problem, Bull. Australian Math. Soc., 12 (1975), pp. 399-405. Zbl0297.35031MR385318

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