Maximum Principles for a Class of Nonlinear Second-order Elliptic Boundary Value Problems in Divergence Form
نویسنده
چکیده
For a class of nonlinear elliptic boundary value problems in divergence form, we construct some general elliptic inequalities for appropriate combinations of u(x) and |∇u|2, where u(x) are the solutions of our problems. From these inequalities, we derive, using Hopf ’s maximum principles, some maximum principles for the appropriate combinations of u(x) and |∇u|2, and we list a few examples of problems to which these maximum principles may be applied.
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