Abstract
Solutions are found for the nonlinear equation Δ 2 L U(x) = f(U(x)) (here, Δ L is an infinite-dimensional Laplacian) which is solved with respect to the iterated infinite-dimensional Laplacian. The Riquier problems are stated for an equation of this sort.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1574–1577, November, 1998.
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Feller, M.N. Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian. Ukr Math J 50, 1796–1800 (1998). https://doi.org/10.1007/BF02524489
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DOI: https://doi.org/10.1007/BF02524489