13 citations · 23 across the 12 of their papers we have counts for
6 papers · 1 filter
Multi-peak solutions for singularly perturbed nonlinear Dirichlet problems involving critical growth
Yi He, Juncheng Wei, Jianjun Zhang
We consider the following singularly perturbed elliptic problem \[ - {\varepsilon ^2}Δu + u = f(u){\text{ in }}Ω,{\text{ }}u > 0{\text{ in }}Ω,{\text{ }}u = 0{\text{ on }}\partial…
Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension
Zhisu Liu, Marco Squassina, Jianjun Zhang
We study the existence of ground states to a nonlinear fractional Kirchhoff equation with an external potential . Under suitable assumptions on , using the monotonicity trick…
Ground states and semiclassical states of nonlinear Choquard equations involving Hardy-Littlewood-Sobolev critical growth
Daniele Cassani, Jianjun Zhang
We are concerned with the existence of ground states for nonlinear Choquard equations involving a critical nonlinearity in the sense of Hardy-Littlewood-Sobolev. Our result complem…
Singularly perturbed fractional Schrödinger equation involving a general critical nonlinearity
Hua Jin, Wenbin Liu, Jianjun Zhang
In this paper, we are concerned with the existence and concentration phenomena of solutions for the following singularly perturbed fractional Schrödinger problem \begin{align*} \va…
A priori estimates and positivity for semiclassical ground states for systems of critical Schroedinger equations in dimension two
Daniele Cassani, Jianjun Zhang
We consider in the whole plane the Hamiltonian coupling of semilinear Schroedinger equations which have critical growth in the sense of Moser. We prove that the (nonempty) set S of…
Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
Zhaoli Liu, Zhi-Qiang Wang, Jianjun Zhang
We investigate the existence of multiple bound state solutions, in particular sign-changing solutions. By using the method of invariant sets of descending flow, we prove that this…