Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data
Nour Eddine Alaa, F. Maach, Ilham Mounir · Journal of Applied Analysis · 2005
We prove the existence of weak solutions for some quasilinear elliptic reaction-diffusion systems with Dirichlet boundary conditions and satisfying to the two main properties: the positivity of the solutions and the balance law. The nonlinearity we consider here has critical growth with respect to the gradient and the data are in L 1 .