A priori estimates and blow-up behavior for solutions of-Q_(N~u)= Ve~u in bounded domain in R~N

作者：XIE Ru Long; GONG Hua Jun

来源：Science China Mathematics, 2016, (03): 479-492.

• blow-up behavior
• N-anisotropic Laplacian
• N-anisotropic Liouville equation

Let QN be an N-anisotropic Laplacian operator, which contains the ordinary Laplacian operator,N-Laplacian operator and the anisotropic Laplacian operator. We firstly obtain the properties of QN, which contain the weak maximal principle, the comparison principle and the mean value property. Then a priori estimates and blow-up analysis for solutions of-QNu = Veu in bounded domain in RN, N≥2 are established.Finally, the blow-up behavior of the only singular point is also considered.

• 出版日期2016-3-1
• 单位中国科学技术大学