41 citations · 60 across the 14 of their papers we have counts for
14 papers
Neumann problem with a discontinuous nonlinearity
Debajyoti Choudhuri, Dušan D. Repovš, Kamel Saoudi
This study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power no…
Concentration Phenomena of Normalized Solutions of Critical Biharmonic Equations with Combined Nonlinearities in
Yueqiang Song, Jiaying Ma, Dušan D. Repovš
We prove the multiplicity and concentration of normalized solutions of critical biharmonic equations with combined nonlinearities in \begin{equation*} Δ^{2}u+V(\va…
Concentrating solutions of the fractional -Choquard equation with exponential growth
Yueqiang Song, Xueqi Sun, Dušan D. Repovš
This article deals with the following fractional -Choquard equation with exponential growth of the form: $$\varepsilon^{ps}(-Δ)_{p}^{s}u+\varepsilon^{qs}(-Δ)_q^su+ Z(x)(|u|^…
Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Nabil Chems Eddine, Dušan D. Repovš
We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangula…
On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak data
S. Sahu, D. Choudhuri, D. D. Repovš
The article is about an elliptic problem defined on a {\it stratified Lie group}. Both sub- and superlinear cases are considered whose solutions are guaranteed to exist in light of…
Pairs of fixed points for a class of operators on Hilbert spaces
A. Mokhtari, K. Saoudi, D. D. Repovš
In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given…
Codimensions of identities of solvable Lie superalgebras
M. V. Zaicev, D. D. Repovš
We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with a non-nilpoten…
Singular -biharmonic problem with the Hardy potential
A. Drissi, A. Ghanmi, D. D. Repovš
The aim of this paper is to study existence results for a singular problem involving the -biharmonic operator and the Hardy potential. More precisely, by combining monotonicity…
A multiphase eigenvalue problem on a stratified Lie group
Debajyoti Choudhuri, Leandro S. Tavares, Dušan D. Repovš
We consider a multiphase spectral problem on a stratified Lie group. We prove the existence of an eigenfunction of -eigenvalue problem on a bounded domain. Furthermore, we a…
Generalized noncooperative Schrödinger-Kirchhoff-type systems in
N. Chems Eddine, D. D. Repovš
We consider a class of noncooperative Schrödinger-Kirchhoff type system which involves a general variable exponent elliptic operator with critical growth. Under certain suitable co…
On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
N. Chems Eddine, M. A. Ragusa, D. D. Repovš
We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the ex…
On the -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity
Min Zhao, Yueqiang Song, Dušan D. Repovš
In this article, we deal with the following -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: $$ M\left([u]_…
Nodal solutions for Neumann systems with gradient dependence
Kamel Saoudi, Eadah Alzahrani, Dušan D. Repovš
We consider the following convective Neumann systems:\begin{equation*}\left(\mathrm{S}\right)\qquad\left\{\begin{array}{ll}-Δ_{p_1}u_1+\frac{|\nabla u_1|^{p_1}}{u_1+δ_1}=f_1(x,u_1,…
Fractional Sobolev spaces with kernel function on compact Riemannian manifolds
A. Aberqi, A. Ouaziz, D. D. Repovš
In this paper, a new class of Sobolev spaces with kernel function satisfying a Lévy-integrability type condition on compact Riemannian manifolds is presented. We establish the prop…