On the solvability of some nonlinear Elliptic problems
- Autores: Golubeva E.V.1, Dubinskii Y.A.1
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Afiliações:
- National Research University “MPEI,”
- Edição: Volume 57, Nº 3 (2017)
- Páginas: 409-421
- Seção: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178986
- DOI: https://doi.org/10.1134/S0965542517030058
- ID: 178986
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Resumo
The solvability of second-order nonlinear elliptic equations in weighted Sobolev spaces is analyzed. An additional condition ensuring the solvability of such equations is that the average of the desired solution over some circle of fixed radius is zero. Examples are equations containing a weighted p-Laplacian and the Euler equations.
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Sobre autores
E. Golubeva
National Research University “MPEI,”
Autor responsável pela correspondência
Email: egollip@mail.ru
Rússia, Moscow, 111250
Yu. Dubinskii
National Research University “MPEI,”
Email: egollip@mail.ru
Rússia, Moscow, 111250
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