@article{CMUC_1987_28_4_a13,
author = {Milojevic, P. S.},
title = {Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {735--750},
year = {1987},
volume = {28},
number = {4},
mrnumber = {928686},
zbl = {0647.47058},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1987_28_4_a13/}
}
TY - JOUR AU - Milojevic, P. S. TI - Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems JO - Commentationes Mathematicae Universitatis Carolinae PY - 1987 SP - 735 EP - 750 VL - 28 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1987_28_4_a13/ LA - en ID - CMUC_1987_28_4_a13 ER -
%0 Journal Article %A Milojevic, P. S. %T Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems %J Commentationes Mathematicae Universitatis Carolinae %D 1987 %P 735-750 %V 28 %N 4 %U http://geodesic.mathdoc.fr/item/CMUC_1987_28_4_a13/ %G en %F CMUC_1987_28_4_a13
Milojevic, P. S. Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems. Commentationes Mathematicae Universitatis Carolinae, Tome 28 (1987) no. 4, pp. 735-750. http://geodesic.mathdoc.fr/item/CMUC_1987_28_4_a13/
[1] S. Agmon: On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems. Comm. Pure App. Math., 15 (1962), 119-147. | MR | Zbl
[2] S. Agmon: Lectures on Elliptic Boundary Value Problems. Princeton, NJ, Van Nostrand, 1965. | MR | Zbl
[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
[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
[5] H. Brezis F. E. Browder: Some properties of higher order Sobolev spaces. J. Math. Pures Appl, 61 (1982), 245-259. | MR
[6] H. Brezis L. Nirenberg: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36 (1983), 437-477. | MR
[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
[8] F. E. Browder: Degree of mapping for nonlinear mappings of monotone type. Proc. Nat. Acad. Sci. USA, 180 (1983), 2408-2409. | MR | Zbl
[9] P. Hess: On nonlinear mappings of monotone type with respect to two Banach spaces. J. Math. Pures Appl., 52 (1973), 13-16. | MR | Zbl
[10] T. Kato: Locally coercive nonlinear equations with applications to some periodic solutions. Duke Math. J., 51 (1984), 923-936. | MR | Zbl
[11] S. Kesavan: Existence of solutions by the Galerkin method for a class of nonlinear problems. Applicable Anal., 16 (1983), 279-290. | MR | Zbl
[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
[13] P. L. Lions: On the existence of positive solutions of semilinear elliptic equations. SIAM Review, 24 (1982), 441-467. | MR | Zbl
[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).
[15] J. Moser: A rapidly convergent iteration method and non-linear partial differential equations-I. Ann. Scouola Normale Supp. Pisa, 20 (1966), 265-315. | MR | Zbl
[16] P. H. Rabinowitz: A rapid convergence method for a singular perturbation problem. Ann. Inst. Henri Poincaré, Analyse nonlinéaire, 1 (1984), 1-17. | MR | Zbl
[17] J. R. L. Webb: Boundary value problems of strongly nonlinear elliptic equations. J. London Math. Soc, (2) 21 (1980), 123-132. | MR