5 papers · 1 filter
Delaunay solutions to the fractional Hartree equation with critical growth
João Henrique Andrade, Tao Feng, Paolo Piccione +1
We study positive solutions of the critical fractional Hartree equation with a non-removable isolated singularity at the origin. This equation is doubly nonlocal, involving both th…
Blow-up asymptotics for a critical Hartree-type Brézis--Nirenberg problem in dimension three
Yue Wu, Minbo Yang
In this paper, we study the following critical Hartree problem \begin{equation}\label{equationabstract} \begin{cases} \displaystyle-Δu+(Q+\varepsilon V)u= A_{3,μ} \left(\int_Ω\frac…
Energy asymptotics and blow-up phenomena for biharmonic Brézis-Nirenberg problem
Jiamo Li, Qikai Lu, Minbo Yang
For dimensions , we are concerned with the quotient functional of the biharmonic Brézis-Nirenberg problem under the Navier boundary condition $$ S(\varepsilon V):=\inf_{0\n…
Asymptotic behavior of solutions to a planar Hartree equation with isolated singularities
Tao Feng, Minbo Yang, Xianmei Zhou
In this paper we investigate the isolated singularities of the Hartree type equation \begin{equation*} -Δu (x)= \left(\frac{1}{|x|^α}*e^u\right)e^{u(x)}\quad \text{in } B_{1}\setmi…
Boundary regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals with non-standard growth
Pedro Fellype Pontes, João Vitor da Silva, Minbo Yang
For a fixed constant and a bounded Lipschitz domain with , we establish that almost-minimizers (functions satisfying a sort of variational…