Abstract
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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Tsar'kov, I.G. Nonunique Solvability of Certain Differential Equations and Their Connection with Geometric Approximation Theory. Mathematical Notes 75, 259–271 (2004). https://doi.org/10.1023/B:MATN.0000015042.89501.ed
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DOI: https://doi.org/10.1023/B:MATN.0000015042.89501.ed