自然增长的半线性次椭圆方程内部H?lder估计

Interior H?lder Estimate to Semilinear Subelliptic Equations Under the Natural Growth

对于低阶项满足自然增长条件的半线性次椭圆方程有界弱解,通过Moser-Nash迭代和弱Harnack不等式,得到弱解的内部H?lder连续性估计.

For the bounded weak solution of a class of semilinear subelliptic equations under the natural growth, we prove an interior Holder continuity estimate by way of establishing the modified Moser-Nash iterations and weak Harnack inequality.