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Keywords:
iterated equation; Almansi’s expansion; Kelvin principle
iterated equation; Almansi’s expansion; Kelvin principle
Summary:
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
References:
[1] E. Almansi: Sull’ integrazione dell differenziale $\Delta ^{2m}=0$. Ann. Mat. Ser. II, III (1899), 1–59.
[2] A. Altın: Some expansion formulas for a class of singular partial differential equations. Proc. Am. Mat. Soc. 85 (1982), 42–46. DOI 10.1090/S0002-9939-1982-0647894-1 | MR 0647894
[3] A. Altın: Radial type solutions for a class of third order equations and their iterates. Math. Slovaca 49 (1999), 183–187. MR 1696946
[4] A. O. Çelebi: On the generalized Tricomi’s equation. Comm. Fac. Sci. Univ. Ankara Ser. A 17 (1968), 1–31. MR 0298256
[5] A. Weinstein: On a class of partial differential equations of even order. Ann. Mat. Pura Appl. 39 (1955), 245–254. DOI 10.1007/BF02410772 | MR 0075411 | Zbl 0065.33102
[6] N. Özalp and A. Çetinkaya: Expansion formulas and Kelvin principle for a class of partial differential equations. Math. Balkanica (NS) 15 (2001), 219–226. MR 1891304
[7] N. Özalp: $r^{m}$-type solutions for a class of partial differential equations. Commun. Fac. Sci. Univ. Ank. Series A1 (2001), 95–100. MR 1842304
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