3 citations · 3 across the 9 of their papers we have counts for
9 papers
Ground state solution of a Kirchhoff type equation with singular potentials
Thanh Viet Phan
We study the existence and blow-up behavior of minimizers for here is the Kirchhoff e…
Ground state of the mass-critical inhomogeneous nonlinear Schrodinger functional
Thanh Viet Phan
We study the ground state problem of the nonlinear Schrodinger functional with a mass-critical inhomogeneous nonlinear term. We provide the optimal condition for the existence of g…
Existence and blow-up of attractive Gross-Pitaevskii minimizers with general bounded potentials
Thanh Viet Phan
The paper is concerned with the existence and blow-up behavior of the minimizers for the 2D attractive Gross-Pitaevskii functional when the interaction strength increases to a crit…
Blow-up profile of the focusing Gross-Pitaevskii minimizer under self-gravitating effect
Thanh Viet Phan
We consider a Bose-Einstein condensate in a 2D dilute Bose gas, with an external potential and an interaction potential containing both of the short-range attractive self-interacti…
Blow-up for biharmonic Schrodinger equation with critical nonlinearity
Thanh Viet Phan
We consider the minimizers for the biharmonic nonlinear Schrödinger functional $$ \mathcal{E}_a(u)=\int_{\mathbb{R}^d} |Δu(x)|^2 d x + \int_{\mathbb{R}^d} V(x) |u(x)|^2 d x - a \in…
Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in the whole space
Guy Barles, Olivier Ley, Thi-Tuyen Nguyen +1
We study the large time behavior of solutions of first-order convex Hamilton-Jacobi Equations of Eikonal type set in the whole space. We assume that the solutions may have arbitrar…