4 papers
On the multiplicity of weak solutions for a class of coupled quasilinear elliptic systems
Annamaria Canino, Simone Mauro
We study the existence and regularity of weak solutions to the following quasilinear elliptic system: \[ -\mathrm{div}(A_k(x, u_k) |\nabla u_k|^{p_k - 2} \nabla u_k) + \dfrac{1}{p_…
Existence results for variational quasilinear elliptic systems involving the vectorial -Laplacian
Annamaria Canino, Simone Mauro
We prove existence and regularity results for the following elliptic system: \[ \begin{cases} -\textbf{div}(|D\boldsymbol{u}|^{p-2}D\boldsymbol{u})=\boldsymbol{f}(x,\boldsymbol{u})…
Quasilinear Elliptic Cooperative and Competitive Systems
Annamaria Canino, Simone Mauro
We study the existence and multiplicity of weak solutions for the following quasilinear elliptic system: \[ \begin{cases} -\mathrm{div}(A_1(x,u_1)\nabla u_1) + \displaystyle\frac{1…
Quasilinear Equations with Neumann Boundary Conditions
Annamaria Canino, Simone Mauro
We prove a multiplicity result for non-constant weak solutions for the quasilinear elliptic equation \[ \begin{cases} \displaystyle-\text{div}(A(x,u)\nabla u) + \fr…