Irregular oblique derivative problems for second-order nonlinear elliptic equations on infinite domains

Irregular oblique derivative problems for second-order nonlinear elliptic equations on infinite domains

Blog Article

In Toothpaste And Toothpowders this article, we study irregular oblique derivative boundary-value problems for nonlinear elliptic equations of second order in an infinite domain.We first provide the formulation of the above boundary-value problem and obtain a representation theorem.Then we give a priori estimates of solutions by using the reduction to absurdity and Platform Base the uniqueness of solutions.Finally by the above estimates and the Leray-Schauder theorem, the existence of solutions is proved.