Article ID Journal Published Year Pages File Type
4610832 Journal of Differential Equations 2013 11 Pages PDF
Abstract

We consider positive solutions to the singular semilinear elliptic equation −Δu=1uγ+f(u), in bounded smooth domains, with zero Dirichlet boundary conditions.We provide some weak and strong maximum principles for the H01(Ω) part of the solution (the solution u   generally does not belong to H01(Ω)), that allow to deduce symmetry and monotonicity properties of solutions, via the Moving Plane Method.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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