@article{CMUC_1977_18_4_a8,
author = {Fu\v{c}{\'\i}k, Svatopluk},
title = {Nonlinear equations with linear part at resonance: {Variational} approach},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {723--734},
year = {1977},
volume = {18},
number = {4},
mrnumber = {0500339},
zbl = {0376.47030},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1977_18_4_a8/}
}
TY - JOUR AU - Fučík, Svatopluk TI - Nonlinear equations with linear part at resonance: Variational approach JO - Commentationes Mathematicae Universitatis Carolinae PY - 1977 SP - 723 EP - 734 VL - 18 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1977_18_4_a8/ LA - en ID - CMUC_1977_18_4_a8 ER -
Fučík, Svatopluk. Nonlinear equations with linear part at resonance: Variational approach. Commentationes Mathematicae Universitatis Carolinae, Tome 18 (1977) no. 4, pp. 723-734. http://geodesic.mathdoc.fr/item/CMUC_1977_18_4_a8/
[1] S. AHMAD A. C. LAZER J. L. PAUL: Elementary critical point theory and perturbations of elliptic boundary value problems at resonance. Indiana Univ. Math. Journal 25 (1976), 933-944. | MR
[2] 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
[3] S. FUČÍK: Nonlinear potential equations with linear parts at resonance. (to appear). | MR
[4] S. FUČÍK J. NEČAS V. SOUČEK: Variationsrechnung. Teubner Texte zur Mathematik, Teubner, Leipzig, 1977. | MR
[5] A. C. LAZER E. M. LANDESMAN D. R. MEYERS: On saddle point problems in the calculus of variations, the Ritz algorithm, and monotone convergence. J. Math. Anal. Appl. 52 (1975), 594-614. | MR
[6] A. C. LAZER: Some resonance problems for elliptic boundary value problems. Lecture Notes in Pure and Applied Mathematics No 19: Nonlinear Functional Analysis and Differential Equations (ed.: L. Cesari, R. Kannan, J.D. Schuur), pp. 269-289. M. Dekker Inc., New York and Basel, 1976. | MR
[7] M. M. VAJNBERG: Variational methods for the study of nonlinear operators. (Russian), Moscow 1956. English transl.: Holden-Day, San Francisco, California 1964. | MR