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On boundary regularity for the fractional p-Laplacian with unbounded reactions
Antonio Iannizzotto, Sunra Mosconi
The paper establishes Hölder continuity up to the boundary for solutions of elliptic equations involving the fractional p‑Laplacian with reaction terms in L^q, and describes the pr…
Power law convergence and concavity for the Logarithmic Schrödinger equation
Marco Gallo, Sunra Mosconi, Marco Squassina
We study concavity properties of positive solutions to the Logarithmic Schrödinger equation in a general convex domain with Dirichlet conditions. To this aim,…
On a doubly sublinear fractional -Laplacian equation
A. Iannizzotto, S. Mosconi
We prove a bifurcation result for a Dirichlet problem driven by the fractional -Laplacian (either degenerate or singular), in which the reaction is the difference between two su…
Concave solutions to Finsler -Laplace type equations
Sunra Mosconi, Giuseppe Riey, Marco Squassina
We prove concavity properties for solutions to anisotropic quasi-linear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth aniso…