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Optimal elliptic regularity: a comparison between local and nonlocal equations
Sunra Mosconi
Given , we discuss the problem of determining the highest such that any solution to a homogeneous elliptic equation in divergence form with ellipticity ratio boun…
Some recent results on the Dirichlet problem for (p,q)-Laplace equations
Salvatore Marano, Sunra Mosconi
A short account of recent existence and multiplicity theorems on the Dirichlet problem for an elliptic equation with -Laplacian in a bounded domain is performed. Both eigenv…
On a -Laplacian problem with parametric concave term and asymmetric perturbation
Salvatore Marano, Sunra Mosconi, Nikolaos Papageorgiou
A Dirichlet problem driven by the -Laplace operator and an asymmetric concave reaction with positive parameter is investigated. Four nontrivial smooth solutions (two positiv…
Pohozaev identity for the fractional Laplacian on
Lorenzo Brasco, Sunra Mosconi, Marco Squassina
By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on involving the fractional Laplacian operator. Furt…