摘要
利用一个改进的p-调和逼近引理,首先证明了具有次临界增长的p-Laplace型拟线性椭圆障碍问题解的梯度的Morrey正则性。进一步地,利用Hlder连续函数的积分刻划引理得到了解的Hlder连续性。利用该方法避免了证明梯度的反向不等式,从而简化了证明。
Based on a modification of p-harmonic approximation argument,the gradients of solutions to the quasilinear elliptic p-Laplace type obstacle problems with subcritical growth enjoy the Morrey regularity are proved. Then the Hlder continuity of solutions is obtained by using the integral characterization of Hlder continuous functions. Making use of this method,one can simplify the proof avoiding the proof of a suitable reverse Hlder inequality for the gradient.
引文
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