Salta al contenuto principale
Passa alla visualizzazione normale.

CALOGERO VETRO

Systems of quasilinear elliptic equations with dependence on the gradient via subsolution-supersolution method

Abstract

For the homogeneous Dirichlet problem involving a system of equations driven by (p, q)-Laplacian operators and general gradient dependence we prove the existence of solutions in the ordered rectangle determined by a subsolution-supersolution. This extends the preceding results based on the method of subsolution-supersolution for systems of elliptic equations. Positive and negative solutions are obtained.