非齐次A-调和方程弱解的局部极值原理

Local Extremum Principle for Weak Solutions of the Nonhomogeneous A-Harmonic Equation

研究非齐次A-调和方程divA(x,▽u(x))=B(x,▽u(x)),其满足〈A(x,h),h〉≥α|h|~p,|A(x,h)|≤β|h|^(p-1)+g(x),|B(x,h)|≤γ|h|^(p-1).应用Moser迭代法证明其弱解满足局部极值原理,并进一步得出弱解的内部估计和全局估计.

The nonhomogeneous A-ttarmonic Equation divA（x,△u（x））=B（x,△u（x））studied, under conditions 〈A（x,h）,h〉≥a{h｜^p,｜A（x,h）｜≤β｜h｜^p-1＋g（x）,｜B（x,h）｜≤γ｜h｜^p-1 Using Moser iterative method, the author obtains local extremum principle for weak solutions internal and whole estimates for weak solutions.