| Title:
|
Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems (English) |
| Author:
|
Milojevic, P. S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
28 |
| Issue:
|
4 |
| Year:
|
1987 |
| Pages:
|
735-750 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| MSC:
|
47H05 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0647.47058 |
| idMR:
|
MR928686 |
| . |
| Date available:
|
2008-06-05T21:31:06Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106585 |
| . |
| Reference:
|
[1] S. Agmon: On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems.Comm. Pure App. Math., 15 (1962), 119-147. Zbl 0109.32701, MR 0147774 |
| Reference:
|
[2] S. Agmon: Lectures on Elliptic Boundary Value Problems.Princeton, NJ, Van Nostrand, 1965. Zbl 0142.37401, MR 0178246 |
| Reference:
|
[3] A. Bahri J. M. Coron: Sur une équation eiliptique nonlinéaire avec l'exposant critique de Sobolev.C. R. Acad. Sc. Paris, t. 301, Serie I, (1985), 345-348. MR 0808623 |
| Reference:
|
[4] A. Bahri P. L. Lions: Remarques sur la théorie variationnelle des points critiques et applications.C. R. Acad. Sc. Paris, t. 301, Serie I, (1985), 145-147. MR 0801948 |
| Reference:
|
[5] H. Brezis F. E. Browder: Some properties of higher order Sobolev spaces.J. Math. Pures Appl, 61 (1982), 245-259. MR 0690395 |
| Reference:
|
[6] H. Brezis L. Nirenberg: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents.Comm. Pure Appl. Math. 36 (1983), 437-477. MR 0709644 |
| Reference:
|
[7] F. E. Browder: Exsistence theory for boundary-value problems for quasilinear elliptic systems with strongly nonlinear lower order terms.Proc. Symp. Pure Math., 23 (1971), 269-286, AMS, Providence, 1973. MR 0340815 |
| Reference:
|
[8] F. E. Browder: Degree of mapping for nonlinear mappings of monotone type.Proc. Nat. Acad. Sci. USA, 180 (1983), 2408-2409. Zbl 0533.47052, MR 0700933 |
| Reference:
|
[9] P. Hess: On nonlinear mappings of monotone type with respect to two Banach spaces.J. Math. Pures Appl., 52 (1973), 13-16. Zbl 0222.47019, MR 0636418 |
| Reference:
|
[10] T. Kato: Locally coercive nonlinear equations with applications to some periodic solutions.Duke Math. J., 51 (1984), 923-936. Zbl 0571.47051, MR 0771388 |
| Reference:
|
[11] S. Kesavan: Existence of solutions by the Galerkin method for a class of nonlinear problems.Applicable Anal., 16 (1983), 279-290. Zbl 0507.35030, MR 0718535 |
| Reference:
|
[12] R. Landes V. Mustonen: Boundary value problems of strongly nonlinear second order elliptic equations.Bollettino U.M.I., (6) 4 - B (1985), 33-55. MR 0783329 |
| Reference:
|
[13] P. L. Lions: On the existence of positive solutions of semilinear elliptic equations.SIAM Review, 24 (1982), 441-467. Zbl 0511.35033, MR 0678562 |
| Reference:
|
[14] P. S. Milojevid: Solvability of some semilinear equations with strong nonlinearities-I, II.Abstracts AMS, 85T-47-16, (January 1985); 85T-47-264 (October 1985). |
| Reference:
|
[15] J. Moser: A rapidly convergent iteration method and non-linear partial differential equations-I.Ann. Scouola Normale Supp. Pisa, 20 (1966), 265-315. Zbl 0144.18202, MR 0199523 |
| Reference:
|
[16] P. H. Rabinowitz: A rapid convergence method for a singular perturbation problem.Ann. Inst. Henri Poincaré, Analyse nonlinéaire, 1 (1984), 1-17. Zbl 0547.35047, MR 0738493 |
| Reference:
|
[17] J. R. L. Webb: Boundary value problems of strongly nonlinear elliptic equations.J. London Math. Soc, (2) 21 (1980), 123-132. MR 0576188 |
| . |
