192 citations · 3.7k across the 290 of their papers we have counts for
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High and low perturbations of the critical Choquard equation on the Heisenberg group
Shujie Bai, Yueqiang Song, Dušan D. Repovš
We study the following critical Choquard equation on the Heisenberg group: \begin{equation*} \begin{cases} \displaystyle {-Δ_H u }=μ |u|^{q-2}u+\int_Ω \frac{|u(η)|^{Q_λ^{\ast}}} {|…
Singular -biharmonic problems involving the Hardy-Sobolev exponent
A. Drissi, A. Ghanmi, D. D. Repovš
This paper is concerned with existence results for the singular -biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. More precisely, by usi…
On -Laplacian Kirchhoff-Schrödinger-Poisson type systems with critical growth on the Heisenberg group
Shujie Bai, Yueqiang Song, Dušan D. Repovš
In this article, we investigate the Kirchhoff-Schrödinger-Poisson type systems on the Heisenberg group of the following form: \begin{equation*} \left\{ \begin{array}{lll} {-(a+b\in…
An elliptic problem of the Prandtl-Batchelor type with a singularity
Debajyoti Choudhuri, Dušan D. Repovš
We establish the existence of at least two solutions of the {\it Prandtl-Batchelor} like elliptic problem driven by a power nonlinearity and a singular term. The associated energy…
Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities
S. Fareh, K. Akrout, A. Ghanmi +1
In this paper, we study certain critical Schrödinger-Kirchhoff type systems involving the fractional -Laplace operator on a bounded domain. More precisely, using the properties…
On degenerate fractional Schrödinger-Kirchhoff-Poisson equations with upper critical nonlinearity and electromagnetic fields
Zhongyi Zhang, Dušan D. Repovš
We investigate the degenerate fractional Schrödinger-Kirchhoff-Poisson equation in with critical nonlinearity and electromagnetic fields $\varepsilon^{2s} M([u]_{s,A…