Strong maximum principle for general quasilinear problems in non-divergence form Original Research Article

Let us consider a solution uu of the following View the MathML source{−∑ijaij(x,u,∇u)∂2u∂xi∂xj≥F(x,u,∇u)in RNu(x)≥0∀x∈RN. Turn MathJax on In this paper we give (i) Some conditions ensuring a strong maximum principle for uu. (ii) Some conditions ensuring that uu has a compact support.