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Nonlinear degenerate elliptic equations with measure data

Fengquan Li — 2007

Commentationes Mathematicae Universitatis Carolinae

In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., , Ricerche Mat. (1993), no. 2, 315–329.

On a nonlocal problem for a confined plasma in a Tokamak

Weilin ZouFengquan LiBoqiang Lv — 2013

Applications of Mathematics

The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms u * ' ( | u > u ( x ) | ) and | u > u ( x ) | , which are neither local, nor continuous, nor monotone. By using the Galerkin approximate method and establishing some properties of the decreasing rearrangement, we prove the existence of solutions to such problem.

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