Existence of strong solutions of Pucci extremal equations with superlinear growth in Du
Existence of strong solutions of Pucci extremal equations with superlinear growth in Du
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DOI：
10.1007/s11784-009-0106-9
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发表时间：
2009-06
影响因子：
1.8
通讯作者：
Shigeaki Koike;A. Swiech
中科院分区：
文献类型：
--
作者：
Shigeaki Koike;A. Swiech
证明了具有超线性增长和无界系数的普奇极值方程强解的存在性。应用这一结果，建立了具有关于du的超线性增长项的全非线性均匀椭圆偏微分方程的lp -粘滞超解的弱Harnack不等式。
We prove existence of strong solutions of Pucci extremal equations with superlinear growth inDuand unbounded coefficients. We apply this result to establish the weak Harnack inequality forLp-viscosity supersolutions of fully nonlinear uniformly elliptic PDEs with superlinear growth terms with respect toDu.