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math.AP2021
Symmetry and monotonicity results for solutions of vectorial -Stokes systems
Rafael López-Soriano, Luigi Montoro, Berardino Sciunzi
In this paper we shall study qualitative properties of a -Stokes type system, namely $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\bold…
math.AP2021★ 1 cited
Monotonicity of positive solutions to quasilinear elliptic equations in half-spaces with a changing-sign nonlinearity
Francesco Esposito, Alberto Farina, Luigi Montoro +1
In this paper we prove the monotonicity of positive solutions to in half-spaces under zero Dirichlet boundary conditions, for and for a gen…
math.AP2021
Fractional Hardy equations with critical and supercritical exponents
Mousomi Bhakta, Debdip Ganguly, Luigi Montoro
We study the existence/nonexistence and qualitative properties of the positive solutions to the problem \begin{align*} (-Δ)^s u -θ\frac{u}{|x|^{2s}}&=u^p - u^q \quad\text{in }\,\,…