Geodesic
Nonunique Solvability of Certain Differential Equations and Their Connection with Geometric Approximation Theory
Matematičeskie zametki, Tome 75 (2004) no. 2, pp. 287-301

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In this paper, we study the structural and approximative properties of sets admitting an upper semicontinuous acyclic selection from an almost-best approximation operator. We study the questions of nonunique solvability of a nonlinear inhomogeneous Dirichlet problem on the basis of these properties. 
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     author = {I. G. Tsar'kov},
     title = {Nonunique {Solvability} of {Certain} {Differential} {Equations} and {Their} {Connection} with {Geometric} {Approximation} {Theory}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {75},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_2_a11/}
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I. G. Tsar'kov. Nonunique Solvability of Certain Differential Equations and Their Connection with Geometric Approximation Theory. Matematičeskie zametki, Tome 75 (2004) no. 2, pp. 287-301. http://geodesic.mathdoc.fr/item/MZM_2004_75_2_a11/