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math.AP2022★ 1 cited
Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential
G. Chirillo, L. Montoro, L. Muglia +1
In a very general quasilinear setting, we show that the regularizing effect of a first order term causes the existence of energy solutions for problems involving the Hardy potentia…
math.AP2022★ 1 cited
Symmetry and monotonicity of singular solutions to -Laplacian systems involving a first order term
Stefano Biagi, Francesco Esposito, Luigi Montoro +1
We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by -Laplacian operators and with the additional presence of a nonlinea…
math.AP2022
On the Pohozaev identity for quasilinear Finsler anisotropic equations
Luigi Montoro, Berardino Sciunzi
In this paper we derive the Pohozaev identity for quasilinear equations \begin{equation}\tag{}\label{eq:p} -\operatorname{div}(B'(H(\nabla u))\nabla H(\nabla u))=g(x, u) \quad \…