3 papers
math.AP2025
Concentration phenomena for a mixed local/nonlocal Schrödinger equation with Dirichlet datum
Serena Dipierro, Xifeng Su, Enrico Valdinoci +1
We consider the mixed local/nonlocal semilinear equation \begin{equation*} -ε^{2}Δu +ε^{2s}(-Δ)^s u +u=u^p\qquad \text{in } Ω \end{equation*} with zero Dirichlet datum, where …
math.AP2024
Qualitative properties of positive solutions of a mixed order nonlinear Schrödinger equation
Serena Dipierro, Xifeng Su, Enrico Valdinoci +1
In this paper, we deal with the following mixed local/nonlocal Schrödinger equation \begin{equation*} \left\{ \begin{array}{ll} - Δu + (-Δ)^s u+u = u^p \quad \hbox{in $\mathbb{R}^n…
math.AP2024
On some regularity properties of mixed local and nonlocal elliptic equations
Xifeng Su, Enrico Valdinoci, Yuanhong Wei +1
This article is concerned with ``up to -regularity results'' about a mixed local-nonlocal nonlinear elliptic equation which is driven by the superposition of Laplacian an…