3 papers
math.AP2026
Asymptotic behavior of solutions for the nonlinear Hartree equation involving the fractional Laplacian
Natalino Borgia, Silvia Cingolani, Minbo Yang +1
In this paper, we investigate the nonlocal problem \begin{equation*}\left\lbrace \begin{aligned} &A_{s} u=(|x|^{-(n-2s)}\ast u^{2_{s}^{\sharp}-1-ε})u^{2_{s}^{\sharp}-2-ε} \quad\q…
math.AP2025
Regularity theory for mixed local-nonlocal problem involving general stable operators
Pedro Fellype Pontes, Minbo Yang
In this paper, we study the regularity of solutions to a linear elliptic equation involving a mixed local-nonlocal operator of the form $$Lu - \operatorname{div}\big(a(x)\nabla u(x…
math.AP2025
Multiplicity of solutions for singular elliptic problems with Stein-Weiss term
Márcia S. B. A. Cardoso, Edcarlos D. Silva, Marcos. L. M. Carvalho +1
In the present work, we establish the existence and multiplicity of positive solutions for the singular elliptic equations with a double weighted nonlocal interaction term defined…