Existence of solutions for 4p-order PDES

[1] I. Babuska. Stabilitat des Definitionsgebietes mit Rucksicht auf grundlegende Probleme der Theorie der partiellen Differentialgleichungen auch im Zusammenhang mit der Elastizitatstheorie, I, II. Czechoslovak Math. J., 11 (86):76-105, 165-203, 1961. Search in Google Scholar

[2] J. Fernandez. Bonder, Julio. D. Rossi Existence results for the p-Laplacien with nonlinear boundary conditions, Journal of Mathematical Analysis and Applications, 263(1)(2001), 195-223.10.1006/jmaa.2001.7609 Search in Google Scholar

[3] R.Dalmasso, Positive radial solutions of semilinear elliptic equations of order 2m in annular domains, Hokkaido Mathematical Journal, 23 (1994), 93-101.10.14492/hokmj/1381412487 Search in Google Scholar

[4] R. Dautrey, J.L.Lions, Mathematical analysis and numerical methods for science and technology I: Physical origins and classical methods, Springer Verlag, Berlin (1985). Search in Google Scholar

[5] Ph. Destuynder, M. Salaun, Mathematical analysis of thin plate models, Mathematics and Applications, 24. Springer-Verlag, Berlin (1996).10.1007/978-3-642-51761-7 Search in Google Scholar

[6] A. R. El Amrouss, S. El Habib, N. Tsouli, Existence of solutions for an eigenvalue problem with weight, EJDE, 2010(2010), No. 45, 1-10. Search in Google Scholar

[7] A. R. El Amrouss, F. Moradi, M. Moussaoui, Existence of solutions for a fourth order equation with variable exponent, EJDE, 2009(2009), No. 153, 1-13. Search in Google Scholar

[8] D. Gilbarg, N.S. Trudinger, Elliptic partial differential equations of second order, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol 224. Springer-Verlag, Second edition, Berlin (1983). Search in Google Scholar

[9] C. P. Gupta, Ying C. Kwong, Biharmonic eigenvalue problems and L^p estimates, Internat. J. Math and Math. Sci, 13 (1990), no 3, 469-480.10.1155/S0161171290000692 Search in Google Scholar

[10] Happel, H.Brenner, Low reynolds number hydrodynamics, Prentice-Hall (1965). Search in Google Scholar

[11] W.E. Langlois, Slow viscous flow, Macmillan Company, (1964). Search in Google Scholar

[12] G. Sweer, A survey on boundary conditions for the biharmonic, Complex Variables and Elliptic Equations, 54(2)(2009), 79-93.10.1080/17476930802657640 Search in Google Scholar

[13] A. Szulkin, Ljusternisk-Shnirelmann Theory on C¹ manifolds, Ann. Inst.Henri Poincare, Anal. Non., 5 (1998), 119-139. Search in Google Scholar