【摘要】 本文对各向异性椭圆型方程(1)的一种特殊情形,允许非线性项关于u的增长达到临界指数,作出解的最大模的先验估计。不仅推广了已知的各向同性解的结果,而且在证明方法上有很大的改进。更多还原

【Abstract】 The consideration of the related problems concerning partial differential equations of elliptic type in anisotropic sobolev space is just the bcgining and there is only a few result obtained. In this paper we give the a priori estimate of the maximin modulus of the solution for a special case of the equation (1). Tn the structural condition of B((x,u,ξ) the gtowth order with respect to u can be allowed to arrive at the critical cxponicnt. Not only we extend the corespoding result og the isotropic silution but also inprove the proof cindidcrably.更多还原