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| ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS | |
| 作者姓名： | 罗佩珠 顾永根 方惠中 丁夏畦 |
| 作者单位： | Institute of Systems Science Academia Sinica，Institute of Systems Science，Academia Sinica，Institute of Systems Science，Academia Sinica，Institute of Systems Science，Academia Sinica |
| 摘 要： | In1]we discussed the problems of calculus of variations withstrong nonlinearity.Its Euler equation is evidently the followingelliptic type equation of divergent form with strongly increasingcoefficients,(da(x,u,u_x))/(dx_) a(x,u,u_x)=0,x∈ΩR~n.(1)We get the interior regularities of the solutions of(1).It is justthe Hilbert's 19th problem in the ease with strong nonlinearity. |
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