| Title:
|
On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance (English) |
| Author:
|
Hetzer, Georg |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
17 |
| Issue:
|
2 |
| Year:
|
1976 |
| Pages:
|
315-334 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35D05 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| MSC:
|
47B10 |
| MSC:
|
47B30 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0326.35033 |
| idMR:
|
MR0412602 |
| . |
| Date available:
|
2008-06-05T20:51:13Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105697 |
| . |
| Reference:
|
[1] F. E. BROWDER: Existence theorems for nonlinear partial differential equations.Proc. Symp. Pure Math. 16, Amer. Math. Soc. (1970), edited by: Shing-Shen Chern and Stefan Smale. Zbl 0211.17204, MR 0269962 |
| Reference:
|
[2] D. G. DE FIGUEIREDO: On the range of nonlinear operators with linear asymptotes which are not invertible.Comment. Math. Univ. Carolinae 15 (1974). 415-428. Zbl 0296.35038, MR 0365254 |
| Reference:
|
[3] D. G. DE FIGUEIREDO: The Dirichilet problem for nonlinear elliptic equations: A Hilbert space approach.Partial differential equations and related topics, Lecture Notes 446 (1975), edited by K. A. Goldstein. MR 0437924 |
| Reference:
|
[4] S. FUČÍK M. KUČERA J. NEČAS: Ranges of nonlinear asymptotically linear operators.J. Diff. Eq. 17 (1975), 375-394. MR 0372696 |
| Reference:
|
[5] P. HESS: On a theorem by Landesman and Lazer.Indiana Univ. Math. J. 23 (1974), 827-829. Zbl 0259.35036, MR 0352687 |
| Reference:
|
[6] G. HETZER: Some remarks on $\phi_+$-operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations.Ann. Soc. Scient. Bruxelles 89 (1975), 553-564. Zbl 0316.47041, MR 0385653 |
| Reference:
|
[7] G. HETZER: Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type.Comment. Math. Univ. Carolinae 16 (1975), 121-138. Zbl 0298.47034, MR 0364814 |
| Reference:
|
[8] G. HETZER V. STALLBOHM: Eine Existenzaussage für asymptotisch lineare Störungen eines Fredholmoperators mit Index $0$.to appear. MR 0458262 |
| Reference:
|
[9] G. HETZER V. STALLBOHM: Coincidence degree and Rabinowitz's bifurcation theorem.to appear. |
| Reference:
|
[10] E. M. LANDESMAN A. C. LAZER: Nonlinear perturbations of linear elliptic boundary value problems at resonance.J. Math. Mech. 19 (1970), 609-623. MR 0267269 |
| Reference:
|
[11] J. MAWHIN: Nonlinear perturbations of Fredholm mappings in normed spaces and applications to differential equations.Trabalho de Matematica No 61, Univ. of Brasilia (1974). |
| Reference:
|
[12] J. NEČAS: Les méthodes directes en théorie des équations elliptiques.Paris (1967). MR 0227584 |
| Reference:
|
[13] 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:
|
[14] L. NIRENBERG: An application of generalized degree to a class of nonlinear problems.Proc. Symp. Functional Anal., Liège (1971). Zbl 0317.35036, MR 0413207 |
| Reference:
|
[15] M. SCHECHTER: A nonlinear elliptic boundary value problem.Ann. Scu. Norm. Sup. Pisa, Ser. III, 27 (1973), 707-716. MR 0369912 |
| Reference:
|
[16] C. A. STUART: Some bifurcation theory for $k$-set-contractions.Proc. London Math. Soc. (3) 27 (1973), 531-550. Zbl 0268.47064, MR 0333856 |
| Reference:
|
[17] S. A. WILLIAMS: A sharp sufficient condition for solutions of a nonlinear elliptic boundary value problem.J. Differ. Eq. 8 (1970), 580-586. MR 0267267 |
| . |
