A Priori Bounds for Positive Solutions of a Semilinear Elliptic Equation
A Priori Bounds for Positive Solutions of a Semilinear Elliptic Equation
We consider the semilinear elliptic equation -Au = /(«), x € f2, subject to zero Dirichlet boundary conditions, where f2 C Rn is a bounded domain with smooth boundary and the nonlinearity / assumes both positive and negative values.Under the assumption that O satisfies certain symmetry conditions we establish two …