Email this article On the solvability of some nonlinear Elliptic problems
- Authors: Golubeva E.V.1, Dubinskii Y.A.1
-
Affiliations:
- National Research University “MPEI,”
- Issue: Vol 57, No 3 (2017)
- Pages: 409-421
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178986
- DOI: https://doi.org/10.1134/S0965542517030058
- ID: 178986
Cite item
Open Access
Access granted
Subscription Access
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.
About the authors
E. V. Golubeva
National Research University “MPEI,”
Author for correspondence.
Email: egollip@mail.ru
Russian Federation, Moscow, 111250
Yu. A. Dubinskii
National Research University “MPEI,”
Email: egollip@mail.ru
Russian Federation, Moscow, 111250
Supplementary files
