一类非线性椭圆方程等值面边值问题

Boundary Value Problem with Isosurface for a Class of Nonlinear Elliptic Equations

该文讨论了一类具等值面边界条件的非线性椭圆问题有界广义界的存在及唯一性 ,推广了相应的结果。所用方法是伪单调算子理论结合解的L∞ 估计。

The existence and uniqueness is discussed of bounded generalized solutions to boundary value with equivalued surface for a class of nonlinear elliptic equations, and generalizes the corresponding results. This approach is based on the pseudomonotone operator theory and L ∞ estimate of solutions.