| Title:
|
Nonlinear potential equations with linear parts at resonance (English) |
| Author:
|
Fučík, Svatopluk |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
103 |
| Issue:
|
1 |
| Year:
|
1978 |
| Pages:
|
78-94 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0398.47038 |
| idMR:
|
MR0482425 |
| DOI:
|
10.21136/CPM.1978.117962 |
| . |
| Date available:
|
2009-09-23T08:52:52Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117962 |
| . |
| Reference:
|
[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. MR 0427825 |
| Reference:
|
[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). MR 0492839 |
| Reference:
|
[3] A. Ambrosetti-G. Mancini: Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part.(to appear). Zbl 0375.35024, MR 0487001 |
| Reference:
|
[4] H. Brezis, L. Nirenberg: Characterizations of the ranges of some nonlinear operators and applications to boundary value problems.(to appear). Zbl 0386.47035, MR 0513090 |
| Reference:
|
[5] S. Fučík: Further remark on a theorem by E. M. Landesman and A. C Lazer.Comment. Math. Univ. Carolinae I5, 1974, 259-271. MR 0348260 |
| Reference:
|
[6] S. Fučík: Surjectivity of operators involving linear noninvertible part and nonlinear compact perturbation.Funkcialaj Ekvacioj 17, 1974, 73-83. MR 0365255 |
| Reference:
|
[7] S. Fučík: Nonlinear equations with noninvertible linear part.Czech. Math. Journal 24, 1974, 467-495. MR 0348568 |
| Reference:
|
[8] S. Fučík: Remarks on some nonlinear boundary value problems.Comment. Math. Univ. Carolinae I 7, 1976, 721-730. MR 0427724 |
| Reference:
|
[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. MR 0473513 |
| Reference:
|
[10] S. Fučík, M. Kučera-J. Nečas: Ranges of nonlinear asymptotically linear operators.J. Differential Equations 17, 1975, 375-394. MR 0372696 |
| Reference:
|
[11] R. E. Gaines-J. L. Mawhin: Coincidence degree, and nonlinear differential equations.Lecture Notes in Mathematics No 568. Springer Verlag 1977. Zbl 0339.47031, MR 0637067 |
| Reference:
|
[12] P. Hess: A remark on a preceding paper of Fučík and Krbec.Math. Z. I55,1977,139-141. MR 0473514 |
| Reference:
|
[13] J. L. Kazdan, F. W. Warner: Remarks on quasilinear elliptic equations.Comm. Pure Appl. Math. 28, 1975,567-597. MR 0477445 |
| Reference:
|
[14] E. M. Landesman, A. C. Lazer: Nonlinear perturbations of linear elliptic boundary value problems at resonance.J. Math. Mech. IP, 1970, 609-623. Zbl 0193.39203, MR 0267269 |
| Reference:
|
[15] J. Nečas: Les merhodes directes en theorie des Equations elliptiques.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[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. MR 0318995 |
| . |
