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Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Classes Close to L 1 |
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| Authors: | Kovalevskii A. A. |
| Affiliation: | (1) Institute of Applied Mathematics and Mechanics, National Academy of Sciences of the Ukraine, Donetsk |
| Abstract: | We establish a number of results on the integrability of the entropy and the weak solutions of the Dirichlet problem for nonlinear elliptic equations of second order depending on the integrability properties of the right-hand sides of these equations. |
| Keywords: | integrability of solutions of nonlinear elliptic equations entropy and weak solutions of the Dirichlet problem Young's inequality Fatoux lemma |
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