3 papers
math.AP2025
Multi-peak solutions for the fractional Schrödinger equation with Dirichlet datum
Maria Medina, Jing Wu
Let , and let be a bounded smooth domain. Given the problem $$\varepsilon^{2s}(-Î)^{s} u + V(x)u = |u|^{p-1}u \quad \mbox{in }\; Ω,$$ with Dirich…
math.AP2025
Modica type estimates and curvature results for overdetermined -Laplace problems
Yuanyuan Lian, Jing Wu
In this paper we prove Modica type estimates for the following overdetermined -Laplace problem \begin{equation*} \begin{cases} \mathrm{div} \left(|\nabla u|^{p-2}\nabla u\right)…
math.AP2025
An Overdetermined Neumann boundary value problem with a general driving force
Ignace Aristide Minlend, Jing Wu
In this paper, we prove the existence of a family of non trivial compact subdomains in the manifold for which the overdetermined Neu…