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

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

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

## Access Full Article

top## How to cite

topHess, 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

top- [1] A. Ambrosetti - G. Mancini, Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance (to appear). Zbl0393.35032
- [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] 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] 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] 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] P. Hess, A remark on the preceding paper of Fučik and Krbec, Math. Z.155 (1977), pp. 139-141. Zbl0356.35030MR473514
- [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] S. Mizohata, The Theory of Partial Differential Equations, Cambridge University Press, 1973. Zbl0263.35001MR599580

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.