Abstract
We establish the existence of a weak solution to the Dirichlet problem belonging to a Sobolev space for nonlinear elliptic equations of second order with right-hand sides from a wide class of functions defined in terms of the logarithmic function.
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Kovalevskii, A.A. Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Logarithmic Classes. Mathematical Notes 74, 637–646 (2003). https://doi.org/10.1023/B:MATN.0000008996.80323.82
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DOI: https://doi.org/10.1023/B:MATN.0000008996.80323.82