Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems
Milojević, Petronije S.
Commentationes Mathematicae Universitatis Carolinae, Tome 028 (1987), p. 735-750 / Harvested from Czech Digital Mathematics Library
Publié le : 1987-01-01
Classification:  35J60,  35J65,  47H05,  47H15,  47J05
@article{106585,
     author = {Petronije S. Milojevi\'c},
     title = {Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {028},
     year = {1987},
     pages = {735-750},
     zbl = {0647.47058},
     mrnumber = {928686},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106585}
}
Milojević, Petronije S. Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems. Commentationes Mathematicae Universitatis Carolinae, Tome 028 (1987) pp. 735-750. http://gdmltest.u-ga.fr/item/106585/

S. Agmon On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure App. Math., 15 (1962), 119-147. (1962) | MR 0147774 | Zbl 0109.32701

S. Agmon Lectures on Elliptic Boundary Value Problems, Princeton, NJ, Van Nostrand, 1965. (1965) | MR 0178246 | Zbl 0142.37401

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. (1985) | MR 0808623

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. (1985) | MR 0801948

H. Brezis F. E. Browder Some properties of higher order Sobolev spaces, J. Math. Pures Appl, 61 (1982), 245-259. (1982) | MR 0690395

H. Brezis L. Nirenberg Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), 437-477. (1983) | MR 0709644

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. (1971) | MR 0340815

F. E. Browder Degree of mapping for nonlinear mappings of monotone type, Proc. Nat. Acad. Sci. USA, 180 (1983), 2408-2409. (1983) | MR 0700933 | Zbl 0533.47052

P. Hess On nonlinear mappings of monotone type with respect to two Banach spaces, J. Math. Pures Appl., 52 (1973), 13-16. (1973) | MR 0636418 | Zbl 0222.47019

T. Kato Locally coercive nonlinear equations with applications to some periodic solutions, Duke Math. J., 51 (1984), 923-936. (1984) | MR 0771388 | Zbl 0571.47051

S. Kesavan Existence of solutions by the Galerkin method for a class of nonlinear problems, Applicable Anal., 16 (1983), 279-290. (1983) | MR 0718535 | Zbl 0507.35030

R. Landes V. Mustonen Boundary value problems of strongly nonlinear second order elliptic equations, Bollettino U.M.I., (6) 4 - B (1985), 33-55. (1985) | MR 0783329

P. L. Lions On the existence of positive solutions of semilinear elliptic equations, SIAM Review, 24 (1982), 441-467. (1982) | MR 0678562 | Zbl 0511.35033

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). (1985)

J. Moser A rapidly convergent iteration method and non-linear partial differential equations-I, Ann. Scouola Normale Supp. Pisa, 20 (1966), 265-315. (1966) | MR 0199523 | Zbl 0144.18202

P. H. Rabinowitz A rapid convergence method for a singular perturbation problem, Ann. Inst. Henri Poincaré, Analyse nonlinéaire, 1 (1984), 1-17. (1984) | MR 0738493 | Zbl 0547.35047

J. R. L. Webb Boundary value problems of strongly nonlinear elliptic equations, J. London Math. Soc, (2) 21 (1980), 123-132. (1980) | MR 0576188