Geodesic
Multidimensional discrete Schr\"odinger equation with limit periodic potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 1, pp. 74-82

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It is established that the discrete Schrödinger equation with a small limit periodic potential has a non-trivial solution with the limit periodic modulus for the dense set of the spectrum, which includes the maximal and minimal points. 
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     author = {Yu. P. Chuburin},
     title = {Multidimensional discrete {Schr\"odinger} equation with limit periodic potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_1_a7/}
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Yu. P. Chuburin. Multidimensional discrete Schr\"odinger equation with limit periodic potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 1, pp. 74-82. http://geodesic.mathdoc.fr/item/TMF_1995_102_1_a7/