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math.AP2023★ 2 cited
Quasilinear Dirichlet systems with competing operators and convection
L. Gambera, S. A. Marano, D. Motreanu
In this paper, we consider a quasi-linear Dirichlet system with possible competing -Laplacians and convections. Due to the lack of ellipticity, monotonicity, and variational…
math.AP2023
A note on gradient estimates for p-Laplacian equations
Umberto Guarnotta, Salvatore A. Marano
The aim of this short paper is to show that some assumptions in [10] can be relaxed and even dropped when looking for weak solutions instead of strong ones. This improvement is a c…