多值拟线性椭圆型微分方程的近似解

多值拟线性椭圆型微分方程的近似解 APPROXIMATE SOLUTIOUS FOR MULTIVALUED QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS 雷晋干 Lei Jingan 1 first-author 孙乐林 Sun Lelin 1 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 作为非线性多值椭圆型方程的一个模型，讨论了一类多值拟线性椭圆型微分方程边值问题，给出了它的解的定义，证明了它的解及其近似解的存在性，以及近似解的收敛性．在数值实例中，还给出了求解的具体实施步骤，数值计算表明，理论分析与数值结果一致． As a model for nonlinear multivalued elliptic differential equations, a kind of boundary value problems for multivalued quasilimear elliptic differential equations is discussed. The existence and convergence of approximate solutions are proved, and the method of numerical realization is given for some examples. 非线性算子 多值算子 近似解 Nonlinear operator multivalued operator approximate solution O241.82 国家攀登计划、湖北省自然科学基金 1997-05-01 2021-04-01 5