| Description: | [DMS Seminar.] Dr. Mousomi Bhakta (Department of Mathematics, Technion Haifa, Israel.) -- SEMILINEAR ELLIPTIC EQUATIONS ADMITTING SIMILARITY TRANSFORMATIONS. |
| Date: | Wednesday, Aug 07, 2013 |
| Time: | 3:15 p.m. - 4:15 p.m. |
| Venue: | Class Room 2, JC Bose |
| Details: | In this talk I will talk about the equation $$\Delta u + r^(-a -2)h(r^a u) = 0$$ in smooth domain $\Omega$ where $r(x) = dist(x; \partial\Omega)> 0$ and h is a nondecreasing function which satis es Keller-Osserman condition. We will discuss the subcriticality and supercriticality condition. Under the existence of global barrier for the above equation we will discuss positive solutions with an isolated singularity in the subcritical case and boundary value problem for the above equation with the boundary data given by a positive regular Borel measure (possibly unbounded). We prove that in the subcritical case, the problem possesses a unique solution for every such measure. |
| Calendar: | Seminar Calendar (entered by ssroy) |