Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order

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1. [1] Antoncev S.N.«On the localization of solutions of nonlinear degenerate elliptic and parabolic equations». Soviet Math. Dokl.. 24 (1981), 420-424. Zbl0496.35051
2. [2] Beckenbach E. & Bellman R.«Inequalities»Springer, Berlin (1961). 
3. [3] Bellman R.«Stability theory of differential equations». Mc Graw-Hill, New-York (1953). Zbl0053.24705MR61235
4. [4] Benilan Ph., Brezis H. & Crandall M.G.«A semilinearequation in L1(RN)». Ann. Scuola Norm. Sup. Pisa2 (1975), 523-555. Zbl0314.35077
5. [5] Berkovitz L.D. & Pollard H.«A non-classical variational problem arising from an optimol filter problem». I. Arch. Rational Mech. Anal.26 (1967), 281-304. II. Ibidem 38 (1970), 161-172. Zbl0149.32804
6. [6] Bernis F.«Compactness of the support in convex and nonconvex fourth order elasticity problems». Nonlinear Anal.6 (1982), 1221-1243. Zbl0505.73007MR683842
7. [7] Bernis F.. Thesis (1982). English account in : «Contributions to nonlinear partial differential equations». ed. by C. BARDOS and others. Pitman (Research Notes in Mathematics), London, (1983), 59-68. Zbl0529.49004MR730796
8. [8] Bernis F.«Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension n». Comm. Partial Differential Equations, 9 (3), (1984), 271-312. Zbl0537.35036MR740092
9. [9] Bidaut-Veron M.F.«Propriété de support compact de la solution d'une équation aux dérivées partielles non linéaire d'ordre 4». C.R. Acad. Sci.Paris287 (1978), 1005-1008. Zbl0395.35024MR519228
10. [10] Bidaut-Veron M.F.«Principe de maximum et support compact pour une classe d'équations elliptiques non linéaires d'ordre 4». Publ. Math. Univ. Pau (1979-80), 1-18. 
11. [11] Brezis H.«Solutions with compact support of variational inequalities». Uspehi Mat. Nauk129 (1974),103-108. Zbl0296.35025MR481460
12. [12] Brunovsky P. & Mallet-Paret J.«Switchings of optimol controls and the equation y(4) + |y|α sgn y = 0, 0 < α < 1». To appear. Zbl0583.49011
13. [13] Diaz J.I. & Veron L.«Compacité du support des solutions d'équations quasi-linéaires elliptiques ou paraboliques». C.R. Acad. Sci.Paris, 297 (1983), 149-152. Zbl0541.35042
14. [14] Ekeland I. & Temam R.«Analyse convexe et problèmes variationnels». Dunod, Paris (1974). Zbl0281.49001
15. [15] Erbe L.«Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations». Ann. Mat. Pura Appl. (4) 110 (1976), 373-391. Zbl0345.34023MR427738
16. [16] Gabliardo E.«Ulteriori proprietà di alcune classi di funzioni in più variabili». Ricerche Mat.. 8 (1959), 24-51. Zbl0199.44701MR109295
17. [17] Heidel J.W.«Qualitative behavior of solutions of a third order nonlinear differential equation». Pacific J. Math.27 (1968), 507-526. Zbl0172.11703MR240389
18. [18] Hestenes M. & Redheffer R.«On the minimization of certain quadratic functionals». I. Arch. Rational Mech. Anal.56 (1974),1-14. II. Ibidem 56 (1974), 15-33. Zbl0311.49003
19. [19] Landau E.«Uber einen Satz von Herrn Esclangon». Math. Ann.102 (1929), 177-188. JFM55.0253.04
20. [20] Nirenberg L.«On elliptic partial differential equations». Ann. Scuola Norm. Sup. Pisa13 (1959), 115-162. Zbl0088.07601MR109940
21. [21] Redheffer R.«On a nonlinear functional of Berkovitz and Pollard». Arch. Rational Mech. Anal.50 (1973), 1-9. Zbl0318.49029MR390873
22. [22] Redheffer R.«A note on the Littlewood three-derivatives theorem». J. London. Math. Soc. (2) 9 (1974), 9-15. Zbl0301.26018MR364569
23. [23] Redheffer R.«Nonlinear differential inequalities and functions of compact support». Trans. Amer. Math. Soc.220 (1976), 133-157. Zbl0361.35029MR407450
24. [24] Redheffer R. & Walter W.«Inequalities involving derivatives». Pacific J. Math.85 (1979), 165-178. Zbl0431.26006
25. [25] Veron L.«Comportement asymptotique des solutions d'équations elliptiques semi-lineaires dans RN». Ann. Mat. Pura Appl. (4) 127 (1981), 25-50. Zbl0467.35013MR633393
26. [26] Veron L.«Asymptotic behaviour of the solutions of some nonlinear elliptic equations, in : Nonlinear problems of analysis in geometry and mechanics». ed. by M. ATTEIA and others. Pitman (Research Notes in Mathematics), London (1981). Zbl0448.35017MR616873
27. [27] Kiguradze I.T.« The problem of oscillation of solutions of nonlinear differential equations». (English translation) : Differential Equations1 (1965), 773-782. Zbl0155.41802
28. [28] Kiguradze I.T.«On the oscillatory and monotone solutions of ordinary differential equations». Arch. Math. (Brno) 14 (1978), n° 1, 21-44. Zbl0408.34033MR512742
29. [29] Diaz J.I. & Herrero M.A.«Estimates of the support of the solutions of some nonlinear elliptic and parabolic problems». Proc. Roy. Soc.Edinburgh89A (1981), 249-258. Zbl0478.35083