# 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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topAmbrosetti, 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

top- [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] P.H. Rabinowitz, Some minimax theorems and applications to nonlinear partial differential equations, to appear. Zbl0466.58015MR501092
- [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] P. Hess, A remark on a preceding paper of Fučik and Krbeč, to appear on Math. Z. Zbl0356.35030MR473514
- [5] J.T. Schwartz, Nonlinear functional analysis, Gordon and Breach Intersc. Publ. (1969). Zbl0203.14501MR433481
- [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] 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] E.N. Dancer, On a nonlinear elliptic boundary value problem, Bull. Australian Math. Soc., 12 (1975), pp. 399-405. Zbl0297.35031MR385318

## Citations in EuDML Documents

top- Peter Hess, Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions
- Pavel Drábek, Existence and multiplicity results for some weakly nonlinear elliptic problems at resonance
- H. Amann, E. Zehnder, Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations

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