| Title:
|
Further remark on a theorem by E. M. Landesman and A. C. Lazer (English) |
| Author:
|
Fučík, Svatopluk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
15 |
| Issue:
|
2 |
| Year:
|
1974 |
| Pages:
|
259-271 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
35J25 |
| MSC:
|
35J60 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0282.47022 |
| idMR:
|
MR0348260 |
| . |
| Date available:
|
2008-06-05T20:44:31Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105550 |
| . |
| Reference:
|
[1] M. S. BERGER M. SCHECHTER: On the solvability of semilinear operator equations and elliptic boundary value problems.Bull. Amer. Math. Soc. 78 (1972), 741-745. MR 0303374 |
| Reference:
|
[2] R. COURANT D. HILBERT: Methods of Mathematical Physics.Vol. 1, New York, 1953. |
| Reference:
|
[3] S. FUČÍK: Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations.Čas. pěst. mat. 96 (1971), 371-390. MR 0326502 |
| Reference:
|
[4J S. FUČÍK: Nonlinear equations with noninvertible linear part.Czechoslovak Math. Journal (to appear). MR 0348568 |
| Reference:
|
[5] S. FUČÍK M. KUČERA J. NEČAS: Ranges of nonlinear asymptotically linear operators.J. Diff. Equations (to appear). MR 0372696 |
| Reference:
|
[6] S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK: Spectral Analysis of Nonlinear Operators.Lecture Notes in Mathematics No 346, Springer Verlag 1973. MR 0467421 |
| Reference:
|
[7] P. HESS: On a theorem by Landesman and Lazer.Indiana Univ. Math. Journal (to appear). Zbl 0259.35036, MR 0352687 |
| Reference:
|
[8] M. A. KRASNOSELSKIJ: Positive Solutions of Operator's Equations.(Russian), Moscow 1962. |
| Reference:
|
[9] E. M. LANDESMAN A. C. LAZER: Nonlinear perturbations of linear boundary value problems at resonance.Journ. Math. Mech. 19 (1970), 609-623. MR 0267269 |
| Reference:
|
[10] J. NEČAS: Fredholm alternative for nonlinear operators with application to partial differential equations and integral equations.Čas. pěst. mat. 97 (1972), 65-71. MR 0308882 |
| Reference:
|
[11] J. NEČAS: On the range of nonlinear operators with linear asymptotes which are not invertible.Comment. Math. Univ. Carolinae 14 (1973), 63-72. MR 0318995 |
| Reference:
|
[12] L. NIRENBERG: An application of generalized degree to a class of nonlinear problems.Troisième Colloq. Anal. Fonct. Liège Centre Beige de Recherches Mathématiques, 1971, pp. 57-73. Zbl 0317.35036, MR 0413207 |
| Reference:
|
[13] L. NIRENBERG: Generalized degree and nonlinear problems."Contributions to Nonlinear Analysis" edited by E. Zarantonello. Academic Press 1971, pp. 1-9. Zbl 0267.47034, MR 0388188 |
| Reference:
|
[14] M. SCHECHTER: A nonlinear elliptic boundary value problem.(to appear). Zbl 0302.35044, MR 0369912 |
| Reference:
|
[15] S. A. WILLIAMS: A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem.J. Diff. Equations 8 (1970), 580-586. Zbl 0209.13003, MR 0267267 |
| . |
