A. Articles in refereed journals

1. Karpeshina Yu.E. "Eigenfunctions of Schrödinger equation with zero-range periodic potential of the two-dimensional lattice type in three-dimensional space." Vestnik Leningr. Univer., 1981, No.19, pp. 58-64.
2. Karpeshina Yu.E. "Expansion theorem in eigenfunctions for scattering problem by uniform periodic carriers of chain types in three-dimensional space," in: Problems of mathematical Physics, v.10, Leningrad, pp 147 -- 175, 1982; Engl. transl. Sel. Math. Sov. 4, 3 (1985), pp. 259 -- 276.
3. Karpeshina Yu.E. "Spectrum and eigenfunctions of Schrödinger operator with zero-range potential of the homogeneous lattice type in three dimensional space." Theor. Math. Phys, 57(1983), pp. 1156 - 1162.
4. Karpeshina Yu.E. "Spectrum and eigenfunctions of Schrödinger operator with the zero-range potential of the homogeneous two-dimensional lattice type in three-dimensional space Theor. Math. Phys. 57(1983), pp. 1231-1237.
5. Karpeshina Yu.E. "Decomposition theorem for Schroedinger operator with a zero-range potential of the lattice type." Theory of operators and functions, Issue 1, (in Russian) Izd. Leningr. Univ., 1983, pp. 115-136.
6. Karpeshina Yu. E. "Decomposition theorem for eigenfunctions of the Schrödinger operator with a homogeneous two-dimensional lattice of zero-range potentials in three-dimensional space." Vestnik Leningrad. Univ., 1984, No.1, pp. 9-15.
7. Karpeshina Yu.E. "Investigation of wave processes in domains with noncompact inclusions", Review by the author of Ph.D thesis, (in Russian) Izd. Leningr. Univ. 1984, pp. 1-8.
8. Karpeshina Yu.E. "A model of a crack in a plate." The problems of Mathematical analysis, Issue 10 (in Russian), Izd. Leningr. Univ. 1986.
9. Karpeshina Yu.E., Pavlov B.S. "Zero-range interaction for biharmonic and polyharmonic equations", Matematicheskie zametki, V.40, No.1 (1986), pp. 528-533.
10. Karpeshina Yu.E. "Perturbation theory for polyharmonic operator with a nonsmooth periodic potential," Zapiski nauchnich seminarov LOMI, V. 169 (1988), pp. 76-83.
11. Karpeshina Yu.E. "Perturbation theory for a polyharmonic operator with a periodic potential." Math. USSR Izvestiya, V.34 (1990), No.1, pp. 43-64.
12. Karpeshina Yu.E. "Perturbation Theory for the Schrödinger operator with a periodic nonsmooth potential." Soviet. Math. Dokl. Vol. 40 (1990), 3, pp. 614 -- 618.
13. Karpeshina Yu.E. "Interaction of a free wave with a semicrystall", Zapiski nauchnich seminarov LOMI, V.186 (1990), pp. 107-114.
14. Karpeshina Yu.E. "Perturbation theory for polyharmonic operator with a nonsmooth periodic potential." in: Problems of mathematical physics (in Russian), v. 13, Izd. Leningr. Univ., 1991, pp. 132-153.
15. Karpeshina Yu.E. "Perturbation theory for the Schrödinger operator with a periodic potential", Proceedings of the Steklov Institute of Mathematics, 1991, Issue 3, pp. 109-145.
16. Karpeshina Yu.E. "Perturbation theory formulas for the Schrödinger equation with a non-smooth periodic potential", Math. USSR Sbornik, V.71 (1992), No.1, pp. 101-123.
17. Karpeshina Yu.E. "Perturbation formulae for the Schrödinger operator with a periodic potential near planes of diffraction," Mathematical Research Letters, V.2 (1995), pp 59-74.
18. Karpeshina Yu.E. "Perturbation series for the Schrödinger operator with a periodic potential near planes of diffraction," Communications in Analysis and Geometry, 4, 3, 1996, pp 339 - 413.
19. Karpeshina Yu.E. "Perturbation Theory for the Schrödinger operator with a periodic potential," #1663, in series "Lecture Notes in Mathematics," Springer-Verlag, 1997, 352 pp.
20. Karpeshina Yu.E. "On the density of states for the periodic Schrödinger operator" Arkiv for matematik, 38, 1, 2000, pp 111 - 137.

B. Contributions to conference proceedings and others.

1. Karpeshina Yu. E."Perturbation theory for Schrödinger equation with a periodic potential" Schrödinger operators, standard and nonstandard, Ed. P. Exner and P. Seba, World Scientific, 1989, pp. 131-145.
2. Karpeshina Yu.E. "Geometrical background for the perturbation theory for the polyharmonic operator with a periodic potential." Topological Phases in Quantum Theory, Ed. Markovski, S. Vinitsky, World Scientific, 1989, pp. 251-276.
3. Karpeshina Yu.E. "Zero-range model of P-scattering", Preprint ETH, Zurich, 1992, pp. 1-16.
4. Karpeshina Yu.E. "Perturbation formulae for polyharmonic operator with a periodic potential near planes of diffraction," Preprint ETH, Zurich, 1992, pp. 1-21.
5. Karpeshina Yu.E. "The formulae for eigenfunctions of the periodic Schrödinger operator on the isoenergetic surface." Preprint University of Augsburg, #312, 1994.
6. Karpeshina Yu.E. "Interaction of a free wave with a semicrystal", Journees "Equations aux derivativees partielles" Proceedings of the International Conference on Partial Differential Equations. Saint-Jean-de-Monts, 29 Mau au 2 June 1995, pp XIX.1-XIX.8
7. Karpeshina Yu.E., McLaughlin J.R. "Two methods of solution of the three dimensional inverse nodal problem", Journees "Equations aux derivees partielles" Seminaire, Ecole Polytechnique, U.M.R. 7640 du C.N.R.S., 1997-1998, pp I.1-I.9