## Semilinear elliptic systems with exponential nonlinearities in two dimensions

• Date: 10/03/2006
Lecturer(s):

Joao Marcus do O (Universidade Federal da Paraiba (Brazil))

Location:

University of British Columbia

Topic:

We study the existence of nontrivial solutions for the following system of two coupled semilinear Poisson equations:
left{ begin{array}{rlllllll} -Delta u &=& g(v), & v &
> & 0 & extrm{in} Ω, \ -Delta v &=& f(u), & u
& > & 0 & extrm{in} & Omega, \ u &=& 0,
& v & = & 0 & extrm{on} &partial Omega ,end{array}
right. where Omega is a bounded domain in Re^2 with smooth boundary
partialOmega , and the functions f and g depend exponentially with
respect to u and v.

Other Information:

DG-MP-PDE Seminar 2006