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72 papers · 1 filter
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…
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…
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…
Hardy-Sobolev inequalities involving mixed radially and cylindrically symmetric weights
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
We deal with weighted Hardy-Sobolev type inequalities for functions on , . The weights involved are anisotropic, given by products of powers of the distance…