Mathematics – Analysis of PDEs
Scientific paper
2008-06-07
Differential and integral equations 21, 7-8 (2008) 601 -- 622
Mathematics
Analysis of PDEs
Scientific paper
In this paper we investigate existence and characterization of non-radial pseudo-radial (or separable) solutions of some semi-linear elliptic equations on symmetric 2-dimensional domains. The problem reduces to the phase plane analysis of a dynamical system. In particular, we give a full description of the set of pseudo-radial solutions of equations of the form $\Delta u = \pm a^2(|x|) u|u|^{q-1}$, with $q>0$, $q\neq 1$. We also study such equations over spherical or hyperbolic symmetric domains.
Jazar Mustapha
Soufi Ahmad El
No associations
LandOfFree
Pseudo-radial solutions of semi-linear elliptic equations on symmetric domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Pseudo-radial solutions of semi-linear elliptic equations on symmetric domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudo-radial solutions of semi-linear elliptic equations on symmetric domains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-11668