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20142023
most citedQuasilinear Dirichlet systems with competing operators and convection

2 citations · 3 across the 8 of their papers we have counts for

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math.AP20232 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…

math.AP2022

Multiple solutions to quasi-linear elliptic Robin systems

Umberto Guarnotta, Salvatore A. Marano, Abdelkrim Moussaoui

Two opposite constant-sign solutions to a non-variational p-Laplacian system with Robin boundary conditions are obtained via sub-super-solution techniques. A third nontrivial one c…

math.AP2022

Some recent results on singular p-Laplacian equations

Umberto Guarnotta, Roberto Livrea, Salvatore Angelo Marano

A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with…

math.AP2022

Some recent results on singular p-laplacian systems

Umberto Guarnotta, Roberto Livrea, Salvatore A. Marano

Some recent existence, multiplicity, and uniqueness results for singular p-Laplacian systems either in bounded domains or in the whole space are presented, with a special attention…

math.AP2016

Multiplicity results for critical -Laplacian problems

Giuseppina Barletta, Pasquale Candito, Salvatore A. Marano +1

We prove the existence of distinct pairs of nontrivial solutions for critical -Laplacian problems in , as well as in bounded domains. To overcome the difficul…