On a class of nonlocal nonlinear elliptic problems

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1. [A] R. A. ADAMS, Sobolev Spaces. Academie Press, New York, 1975. Zbl0314.46030MR450957
2. [BC] C. BAIOCCHI & A. CAPELO, Variational and Quasi-variational Inequalities, J. Wiley, Chichester & New York, 1984 (translation of the 1978 italian edition). Zbl0551.49007MR745619
3. [BL] A. BENSOUSSAN & J. L. LIONS, Contrôle impulsionnel et inéquations quasi-variationnelles, Dunod, Paris, 1982. Zbl0491.93002MR673169
4. [Bl] H. BRÉZIS, Analyse fonctionnelle. Théorie et applications, Masson, 1983. Zbl0511.46001MR697382
5. [B2] H. BRÉZIS, Problèmes unilatéraux. J. Math. Pures Appl. 51 (1972), 1-168. Zbl0237.35001MR428137
6. [C] M. CHIPOT, Variationnal Inequalities and flow in Porous Media, Springer Verlag, New York, 1984. Zbl0544.76095MR747637
7. [CM] M. CHIPOT & G. MICHAILLE, Uniqueness results and monotonicity properties for strongly nonlinear variational inequalities, Ann. Scuola Norm. Sup. Pisa (1989). Zbl0699.35113
8. [CR] M. CHIPOT & J. F. RODRIGUES (to appear). 
9. [E] J. G. EIESLEY, Nonlinear vibrations of beams and rectangular plates, Z. Angew. Math. Phys. 15 (1964), 167-175. Zbl0133.19101MR175375
10. [GT] D. GILBARG & N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, New York, 1983. Zbl0562.35001MR737190
11. [GM] M. GURTIN & R. C. MCCAMY, On the diffusion of biological populations, Math. Biosc. (1977), 199-211. Zbl0362.92007
12. [JM] J. L. JOLY & U. MOSCO, A propos de la régularité des solutions de certaines inéquations quasi-variationnelles, J. Funct. Anal. 34 (1979), 107-137. Zbl0425.49018MR551113
13. [KS] D. KINDERLEHRER & G. STAMPACCHIA, An Introduction to Variational Inequalities and their Applications, Academic Press, 1980. Zbl0457.35001MR567696
14. [Me] L. A. MEDEIROS, On a new class of nonlinear wave equations, J. Math. Anal. Appl., 69 (1979), 252-262. Zbl0407.35051MR535295
15. [M] U. MOSCO, Implicit variational problems and quasi-variational inequalities. In « Nonlinear Operators and the Calculus of Variation », Lecture Notes in Math. n° 543, Springer Verlag (1976), 83-156. Zbl0346.49003MR513202
16. [LL] J. LERAY & J. L. LIONS, Quelques résultats de Visik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France, 93 (1965), 97-107. Zbl0132.10502MR194733
17. [L] J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod-Gauthier-Villars, Paris, 1969. Zbl0189.40603MR259693
18. [N] J. NECAS, Introduction to the Theory of Nonlinear Elliptic Equations, John Wiley Interscience, New York, 1986. Zbl0643.35001MR874752
19. [R] J. F. RODRIGUES, Obstacle Problems in Mathematical Physics. North Holland, Amsterdam, 1987. Zbl0606.73017MR880369
20. [Y] N. YOSIDA, On the zeros of solutions of beam equations. Ann. Mat. Pura Appl. 151 (1988), 389-398. Zbl0683.73031MR964521

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