自然增长椭圆EULER方程特征值问题

Elgenvalue Problem of Elliptic Euler Equations with the Natural Growth Condition

本文研究了适当条件之下的自然增长椭圆ＥＵＬＥＲ方程的特征值问题的可解性及正则性。

We consider the eigenvalue problem of elliptic Euler equations under the natural growth condition,we consider multiple integrals of the F(x,u,Du)then weknow that the variational problem under some sufficient conditions relevant to F(x,u,q),yields its solution.A similar method can be used to prove the existence of thesolution to the variational problem I(u),which I(u)is restricted on E.