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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 3, Pages 404–416
DOI: https://doi.org/10.7868/S004446691703005X (Mi zvmmf10533) 		 
On the solvability of some nonlinear elliptic problems

E. V. Golubeva, Yu. A. Dubinskii

National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.7868/S004446691703005X
Abstract: 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.
Key words: nonlinear weighted elliptic problems, solvability, average of the solution.
Funding agency Grant number
Russian Science Foundation 14-11-00306
Received: 26.07.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 3, Pages 409–421
DOI: https://doi.org/10.1134/S0965542517030058
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: E. V. Golubeva, Yu. A. Dubinskii, “On the solvability of some nonlinear elliptic problems”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 404–416; Comput. Math. Math. Phys., 57:3 (2017), 409–421
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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