6 papers
Existence and regularity of weak solutions for mixed local and nonlocal semilinear elliptic equations
Fuwei Cheng, Xifeng Su, Jiwen Zhang
We study the existence, multiplicity and regularity results of weak solutions for the Dirichlet problem of a semi-linear elliptic equation driven by the mixture of the usual Laplac…
Multiple solutions for elliptic equations driven by higher order fractional Laplacian
Fuwei Cheng, Xifeng Su, Jiwen Zhang
We consider an elliptic partial differential equation driven by higher order fractional Laplacian , with homogeneous Dirichlet boundary condition \begin{eq…
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}Îu +ε^{2s}(-Î)^s u +u=u^p\qquad \text{in } Ω \end{equation*} with zero Dirichlet datum, where…
Uniqueness and Nondegeneracy of ground states of $ -Îu + (-Î)^s u+u = u^{p+1} \quad \hbox{in $\mathbb{R}^n$}$ when is close to and
Xifeng Su, Chengxiang Zhang, Jiwen Zhang
We are concerned with the mixed local/nonlocal Schrödinger equation \begin{equation} - Îu + (-Î)^s u+u = u^{p+1} \quad \hbox{in ,} \end{equation} for arbitrary spa…
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} - Îu + (-Î)^s u+u = u^p \quad \hbox{in $\mathbb{R…
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 a…