Semilinear elliptic systems with exponential nonlinearities in two dimensions
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.
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.
Speakers
Additional Information
DG-MP-PDE Seminar 2006
Joao Marcus do O (Universidade Federal da Paraiba (Brazil))
