Mykola Yaremenko

Existence and Uniqueness for a Class of Quasilinear Elliptic Systems with Kato-Type Lower-Order Terms

We study a quasilinear elliptic system λ u | u | p − 2 − div ( a ( x , ∇ u ) ) + b ( x , u ) = f ( x ) , in a bounded domain Ω ⊂ R l ( l > 2 , 2 ≤ p < l ), with homogeneous Dirichlet boundary conditions. The principal part a depends only on the gradient and satisfies strong monot...