We prove the existence, uniqueness, and stability of a solution to the Dirichlet problem in a domain Ω ⊂ ℝn, n ≥ 1, for a nonlinear elliptic operator with potentials in the space of multiplicators, where Ω is an unbounded domain or coincides with ℝn.
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Translated from Problemy Matematicheskogo Analiza 111, 2021, pp. 19-26.
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Vil’danova, V.F., Mukminov, F.K. Perturbations of Nonlinear Elliptic Operators by Potentials in the Space of Multiplicators. J Math Sci 257, 569–578 (2021). https://doi.org/10.1007/s10958-021-05504-1
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DOI: https://doi.org/10.1007/s10958-021-05504-1