6 papers
On a fractional -Laplacian problem in the whole space and with singular reaction
Laura Gambera, Salvatore A. Marano
The existence of positive, pointwise decaying at infinity, weak solutions to a fractional -Laplacian problem in the whole space and with singular reaction is established. Trunca…
On singular -Laplacian problems with discontinuous convection terms
Umberto Guarnotta, Salvatore A. Marano
The existence of positive strong solutions to a homogeneous Dirichlet -Laplacian problem, with reaction sum of a both singular at zero and highly discontinuous nonlinearity and…
Differential inclusion systems with fractional competing operator and multivalued fractional convection term
Jinxia Cen, Salvatore A. Marano, Shengda Zeng
In this work, the existence of solutions (in a suitable sense) to a family of inclusion systems involving fractional, possibly competing, elliptic operators, fractional convection,…
Strong solutions to singular discontinuous -Laplacian problems
Umberto Guarnotta, Salvatore A. Marano
In this paper, the existence of positive strong solutions to a Dirichlet -Laplacian problem with reaction both singular at zero and highly discontinuous is investigated. In part…
Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions
Jinxia Cen, Salvatore A. Marano, Shengda Zeng
In this paper, a new framework for studying the existence of generalized or strongly generalized solutions to a wide class of inclusion systems involving double-phase, possibly com…
Fractional Dirichlet problems with singular and non-locally convective reaction
Laura Gambera, Salvatore A. Marano
In this paper, the existence of positive weak solutions to a Dirichlet problem driven by the fractional -Laplacian and with reaction both weakly singular and non-locally con…