Geodesic
An approximate solution of the Mosolov and the Miasnikov variational problem with the Coulomb boundary friction
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 2, pp. 163-177

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The paper is devoted to the construction and the proof of stability method for the solution of the Mosolov and the Miasnikov problem with boundary friction based on the combination of iterative prox-regularization method and the modified Newton method with step regulation. 
@article{SJVM_2001_4_2_a4,
     author = {A. Ya. Zolotukhin and R. V. Namm and A. V. Pachina},
     title = {An approximate solution of the {Mosolov} and the {Miasnikov} variational problem with the {Coulomb} boundary friction},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {163--177},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2001_4_2_a4/}
}
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A. Ya. Zolotukhin; R. V. Namm; A. V. Pachina. An approximate solution of the Mosolov and the Miasnikov variational problem with the Coulomb boundary friction. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 2, pp. 163-177. http://geodesic.mathdoc.fr/item/SJVM_2001_4_2_a4/