On the solvability of some nonlinear Elliptic problems


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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

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