30 citations · 220 across the 48 of their papers we have counts for
50 papers
Isolated Singularities for Fractional Hartree Equations
Guangze Gu, Aleks Jevnikar, Zhipeng Yang
We study isolated singularities of positive solutions to a fractional Hartree equation with Riesz interaction, \[ (-Δ)^s u = \left( \int_{\mathbb{R}^N\setminus\{0\}} \frac{u^p(y)}{…
Qualitative bifurcation diagram for Grad-Shafranov type equations
Daniele Bartolucci, Guangze Gu, Aleks Jevnikar +2
We study the qualitative behavior of solutions of Grad-Shafranov type equations arising in plasma physics with general differential operators and general nonlinearities. In particu…
Sharp spectral estimates for free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
We derive a sharp spectral estimate for a superlinear free boundary problem arising in plasma physics. The semilinear equation is coupled with a constraint, which forces the analys…
Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
Aleks Jevnikar, Sang-Hyuck Moon
We are concerned with a skew-symmetric singular Liouville system arising in non-relativistic Chern-Simons theory. Based on its variational structure, we establish existence and mul…
Critical sinh-Gordon flow with non-negative weight functions
Qiang Fei, Aleks Jevnikar, Sang-Hyuck Moon
The aim of this article is twofold: one one side we introduce and study the properties of a critical sinh-Gordon type flow \begin{equation*} {\frac{\partial}{\partial t}}e^u=Δ_gu+8…
The Rabinowitz continuum of subcritical Gelfand problems and free boundary-type equations arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
The qualitative behavior of the Rabinowitz unbounded continuum of subcritical Gelfand problems is well known on balls in any dimension. We don't know of any such sharp and detailed…
On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent
Guangze Gu, Aleks Jevnikar
In this paper we use variational methods to establish the existence of solutions for a class of nonlinear elliptic problems involving a combined convolution-type and Hardy nonlinea…
Nonlocal problems with Hardy-Littlewood-Sobolev critical exponent and Hardy potential
Guangze Gu, Aleks Jevnikar
We are concerned with a Brezis-Nirenberg type problem for a critical Choquard equation, in the sense of Hardy-Littlewood-Sobolev inequality, and with the Hardy potential in a smoot…
Symmetry and monotonicity of singular solutions for the Hartree equation
Ying Cai, Guangze Gu, Aleks Jevnikar
In this paper we are concerned with positive singular solutions of the following nonlocal Hartree equation $$-Δu\!=\Big( \int_{\mathbb{R}^N\setminus Γ}\frac{F(u(y))}{|x-y|^μ}dy \Bi…
A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions
Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar +2
We consider a Hamiltonian system of free boundary type, showing first uniform bounds and existence of solutions and of the free boundary. Then, for any smooth and bounded domain, w…
Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
We classify the singular limits relative to a free boundary problem arising in plasma physics in dimension , under suitable natural integral bounds. It turns out that one of t…
Sharp estimates, uniqueness and spikes condensation for superlinear free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
We are concerned with Grad-Shafranov type equations, describing in dimension the equilibrium configurations of a plasma in a Tokamak. We obtain a sharp superlinear generaliza…
On the global bifurcation diagram of the equation in dimension two
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
The aim of this note is to present the first qualitative global bifurcation diagram of the equation . To this end, we introduce the notion of domains of first/sec…
On the first eigenvalue of Liouville-type problems
Daniele Bartolucci, Paolo Cosentino, Aleks Jevnikar +1
The aim of this note is to study the spectrum of a linearized Liouville-type problem, characterizing the case in which the first eigenvalue is zero. Interestingly enough, we obtain…
A Courant nodal domain theorem for linearized mean field type equations
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
We are concerned with the analysis of a mean field type equation and its linearization, which is a nonlocal operator, for which we estimate the number of nodal domains for the radi…
Generic properties of the Rabinowitz continuum
Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar +1
In this paper we prove that generically, in the sense of domain variations, the unbounded Rabinowitz continuum of solutions to a nonlinear eigenvalue problem is a simple analytic c…
Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains
Daniele Bartolucci, Aleks Jevnikar, Jiaming Jin +2
In this note we show non-degeneracy and uniqueness results for solutions of Toda systems associated to general simple Lie algebras with multiple singular sources on bounded domains…
Prescribing -curvature on even-dimensional manifolds with conical singularities
Aleks Jevnikar, Yannick Sire, Wen Yang
On a -dimensional closed manifold we investigate the existence of prescribed -curvature metrics with conical singularities. We present here a general existence and multiplic…
Existence results for a super Toda system
Aleks Jevnikar, Ruijun Wu
We solve a super Toda system on a closed Riemann surface of genus~ and with some particular spin structures. This generalizes the min-max methods and results for super Liouvil…
Infinitely many solutions for Schrödinger-Newton equations
Yeyao Hu, Aleks Jevnikar, Weihong Xie
We prove the existence of infinitely many non-radial positive solutions for the Schrödinger-Newton system $$ \left\{\begin{array}{ll} Δu- V(|x|)u + Ψu=0, &x\in\mathbb{R}^3,\newline…
Generic properties of free boundary problems in plasma physics
Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar +1
We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. We show that in general, in the sense of domain var…
Min-max solutions for super sinh-Gordon equations on compact surfaces
Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu
In the present paper we initiate the variational analysis of a super sinh-Gordon system on compact surfaces, yielding the first example of non-trivial solution of min-max type. The…
Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
Luca Battaglia, Aleks Jevnikar, Zhi-An Wang +1
We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes. Exploiting a variational argume…
Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems
Aleks Jevnikar, Jun Wang, Wen Yang
In the present paper we derive Liouville type results and existence of periodic solutions for type systems with non-homogeneous nonlinearities. Moreover, we prove both un…