Limit distribution function of inhomogeneities in regions with random boundary.~I
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 98-112

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A study is made of the interaction of systems of charged particles with a membrane consisting of inhomogeneities randomly distributed in accordance with the same law in the neighborhoods of corresponding sites of a planar crystal lattice. A system of equations for the self-consistent potential $U_1(x,\xi^0,\dots,\xi^N,\dots)$ and density of surface charges $\sigma(x,\xi^0,\dots,\xi^N,\dots)$ is derived and solved.
@article{TMF_1992_92_1_a8,
     author = {M. Yu. Rasulova},
     title = {Limit distribution function of inhomogeneities in regions with random {boundary.~I}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {98--112},
     publisher = {mathdoc},
     volume = {92},
     number = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a8/}
}
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M. Yu. Rasulova. Limit distribution function of inhomogeneities in regions with random boundary.~I. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 98-112. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a8/