Geodesic
On sign variation and the absence of “strong” zeros of solutions of elliptic equations
Izvestiya. Mathematics, Tome 34 (1990) no. 2, pp. 337-353 
V. A. Kozlov; V. A. Kondrat'ev; V. G. Maz'ya. On sign variation and the absence of “strong” zeros of solutions of elliptic equations. Izvestiya. Mathematics, Tome 34 (1990) no. 2, pp. 337-353. http://geodesic.mathdoc.fr/item/IM2_1990_34_2_a5/
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     title = {On sign variation and the absence of {\textquotedblleft}strong{\textquotedblright} zeros of solutions of elliptic equations},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The authors prove the existence of a convex domain $G$ with smooth boundary for which an eigenfunction corresponding to an eigenvalue of problem with operators of elliptic type is of variable sign. Bibliography: 10 titles.

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[6] Mazya V. G., Plamenevskii B. A., “O printsipe maksimuma dlya bigarmonicheskogo uravneniya v oblasti s konicheskimi tochkami”, Izv. Vyssh. uch. zaved. Matematika, 1981, no. 2, 52–59 | MR

[7] Ter-Akopyants L. G., “O kornyakh kharakteristicheskikh uravnenii uprugogo klina”, Vestn. LGU, 1983, no. 7, 116–118

[8] Carleman T., “Sur un probléme d'unicité pour les systémes d'équations aux dérivées partielles à deux variables indépendantes”, Ark. Mat., 29 (1939), 1–9 | MR

[9] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. Analiz operatorov, t. 4., Mir, M., 1982, 428 pp. | MR

[10] Sawyer E. T., “Unique continuation for Schrodinger operators in dimension three or less”, Ann. Inst. Fourier, 33:3 (1984), 189–200 | MR