Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610832 | Journal of Differential Equations | 2013 | 11 Pages |
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
Authors
A. Canino, M. Grandinetti, B. Sciunzi,