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Referencias:

• Allegretto, W., Huang, Y.X., Eigenvalues of the indefinite-weight p-Laplacian in weighted spaces (1995) Funkcial. Ekvac, 38 (2), pp. 233-242. , MR1356326 (96j:35184)
• Borg, G., On a Liapounoff criterion of stability (1949) Amer. J. Math, 71, pp. 67-70. , MR0028500 (10,456b)
• Champion, T., De Pascale, L., Asymptotic behaviour of nonlinear eigenvalue problems involving p-Laplacian-type operators (2007) Proc. Roy. Soc. Edinburgh Sect. A, 137 (6), pp. 1179-1195. , MR2376876 (2009b:35315)
• Cioranescu, D., Donato, P., An introduction to homogenization (1999) Oxford Lecture, 17. , The Clarendon Press, Oxford University, Press, New York, MR1765047 (2001j:35019)
• Cuesta, M., Eigenvalue problems for the p-Laplacian with indefinite weights (2001) Electron. J. Differential Equations, (33), p. 9. , MR1836801 (2002b:35165)
• Das, K.M., Vatsala, A.S., Green’s function for n − n boundary value problem and an analogue of Hartman’s result (1975) J. Math. Anal. Appl, 51 (3), pp. 670-677. , MR0377161, (51 #13334)
• Euler, L., Nova methodus innumerabiles aequationes differentiales secundi gradus reducendi ad aequationes differentiales primi gradus Commentarii Academiae Scientiarum Petropolitanae, 3 (1732), pp. 124-137. , http://www.17centurymaths.com/contents/euler/e010tr.pdf, English version, translated and annotated by I. Bruce
• Bonder, J.F., Pinasco, J.P., Eigenvalues of the p-Laplacian in fractal strings with indefinite weights (2005) J. Math. Anal. Appl, 308 (2), pp. 764-774. , MR2150123 (2007e:34159)
• Bonder, J.F., Pinasco, J.P., Salort, A.M., Convergence rate for some quasilinear eigenvalues homogenization problems (2015) J. Math. Anal. Appl, 423 (2), pp. 1427-1447. , MR3278207
• Fernández Bonderpinasco, J., Pinasco, J.P., Salort, A.M., Quasilinear eigenvalues (2015) Rev. Matemática De La UMA, 56 (1), pp. 1-25
• Fernández Bonderpinasco, J., Pinasco, J.P., Salort, A.M., Eigenvalue Homogenisation Problem With, , arXiv:1504.03893, to appear in Bulletin of the Australian Mathematical, Society
• Fleckinger, J., Lapidus, M.L., Eigenvalues of elliptic boundary value problems with an indefinite weight function (1986) Trans. Amer.Math. Soc, 295 (1), pp. 305-324. , MR831201 (87j:35282)
• Azorero, J.G., Alonso, I.P., Comportement asymptotique des valeurs propres du p-laplacien (French, with English summary) (1988) C. R. Acad. Sci. Paris Sér. I Math, 307 (2), pp. 75-78. , MR954263 (89k:35171)
• Harris, B.J., Kong, Q., On the oscillation of differential equations with an oscillatory coefficient (1995) Trans. Amer. Math. Soc, 347 (5), pp. 1831-1839. , MR1283552 (95h:34050)
• Hong, H.-L., Lian, W.-C., Yeh, C.-C., The oscillation of half-linear differential equations with an oscillatory coefficient (1996) Math. Comput. Modelling, 24 (7), pp. 77-86. , MR1416945 (97h:34034)
• Hess, P., Kato, T., On some linear and nonlinear eigenvalue problems with an indefinite weight function (1980) Comm. Partial Differential Equations, 5 (10), pp. 999-1030. , MR588690 (81m:35102)
• Kilpeläinen, T., Weighted Sobolev spaces and capacity (1994) Ann. Acad. Sci. Fenn. Ser. a I Math, 19 (1), pp. 95-113. , MR1246890 (95h:46054)
• Nazarov, S.A., Pankratova, I.L., Piatnitski, A.L., Homogenization of the spectral problem for periodic elliptic operators with sign-changing density function (2011) Arch. Ration.Mech. Anal, 200 (3), pp. 747-788. , MR2796132, (2012g:35024)
• Opic, B., Kufner, A., Hardy-type inequalities (1990) Pitman Research Notes in Mathematics Series, 219. , Longman Scientific & Technical, Harlow, MR1069756 (92b:26028)
• Pankratova, I., Piatnitski, A., Homogenization of spectral problem for locally periodic elliptic operators with sign-changing density function (2011) J. Differential Equations, 250 (7), pp. 3088-3134. , MR2771256 (2012a:35026)
• Pinasco, J.P., Lower bounds for eigenvalues of the one-dimensional p-Laplacian (2004) Abstr. Appl. Anal, 2, pp. 147-153. , MR2058270, (2004m:34194)
• Pinasco, J.P., Lyapunov-type inequalities, With applications to eigenvalue problems (2013) Springer Briefs in Mathematics, , Springer, New York, MR3100444, 23]
• Smets, D., A concentration-compactness lemma with applications to singular eigenvalue (1999) J. Funct. Anal, 167 (2), pp. 463-480. , MR1716204 (2002c:35202)
• Turesson, B.O., (2000) Nonlinear Potential Theory and Weighted Sobolev Spaces, 1736. , Lecture Notes Springer-Verlag, Berlin, MR1774162 (2002f:31027)
• Watanabe, K., Lyapunov type inequality for the equation including 1-dim p-Laplacian (2012) Math. Inequal. Appl, 15 (3), pp. 657-662. , MR2962461
• Wintner, A., On the non-existence of conjugate points (1951) Amer. J.Math., 73, pp. 368-380. , MR0042005 (13,37d)
• Zeidler, E., Lectures on Lyusternik-Schnirelman theory for indefinite nonlinear eigenvalue problems and its applications, Nonlinear analysis, function spaces and applications (1979) Proc. Spring School, pp. 176-219. , Horni Bradlo, 1978), Teubner, Leipzig, MR578914, (81h:58025a)

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