Singular Elliptic PDEs: an extensive overview
In this survey we provide an overview of nonlinear elliptic homogeneous boundary value
problems featuring singular zero-order terms with respect to the unknown variable whose …
problems featuring singular zero-order terms with respect to the unknown variable whose …
Existence and Hölder regularity of infinitely many solutions to a p-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti–Rabinowitz (AR) …
D Choudhuri - Zeitschrift für angewandte Mathematik und Physik, 2021 - Springer
We carry out an investigation of the existence of infinitely many solutions to a fractional p-
Kirchhoff-type problem with a singularity and a superlinear nonlinearity with a homogeneous …
Kirchhoff-type problem with a singularity and a superlinear nonlinearity with a homogeneous …
A singular elliptic problem involving fractional p-Laplacian and a discontinuous critical nonlinearity
K Saoudi, A Panda, D Choudhuri - Journal of Mathematical Physics, 2021 - pubs.aip.org
The purpose of this article is to prove the existence of solution to a nonlinear nonlocal elliptic
problem with a singularity and a discontinuous critical nonlinearity, which is given as (− Δ) …
problem with a singularity and a discontinuous critical nonlinearity, which is given as (− Δ) …
Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity
S Ghosh, D Choudhuri - Positivity, 2020 - Springer
In this article, we will prove the existence of infinitely many positive weak solutions to the
following nonlocal elliptic PDE.(-Δ)^ s u&= λ u^ γ+ f (x, u)\quad~ in\quad~ Ω,\u&= 0~\quad …
following nonlocal elliptic PDE.(-Δ)^ s u&= λ u^ γ+ f (x, u)\quad~ in\quad~ Ω,\u&= 0~\quad …
[PDF][PDF] Multiplicity results of nonlocal singular PDEs with critical Sobolev-Hardy exponent
A Daoues, A Hammami, K Saoudi - 2023 - digital.library.txstate.edu
In this article we study a nonlocal equation involving singular and critical Hardy-Sobolev non-
linearities,(-Δp) su-μ| u| p-2u/| x| sp= λu-α+| u| p* s (t)-2u/| x| t, in Ω, u> 0, in Ω, u= 0, in ℝN\Ω …
linearities,(-Δp) su-μ| u| p-2u/| x| sp= λu-α+| u| p* s (t)-2u/| x| t, in Ω, u> 0, in Ω, u= 0, in ℝN\Ω …
Existence of multiple solutions to Schrödinger–Poisson system in a nonlocal set up in
D Choudhuri, K Saoudi - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
The aim of this work is to study the following system:(-Δ) su+ α ϕ u= β u-γ+ g (u)+ h (x) in R 3
u> 0 in R 3 (-Δ) s ϕ= u 2 in R 3. under the Berestycki–Lions type condition. Here α, β> 0 α …
u> 0 in R 3 (-Δ) s ϕ= u 2 in R 3. under the Berestycki–Lions type condition. Here α, β> 0 α …
Nonlocal fractional system involving the fractional p, q-Laplacians and singular potentials
K Biroud - Arabian Journal of Mathematics, 2022 - Springer
In this paper, we will focus on following nonlocal quasilinear elliptic system with singular
nonlinearities:(S)(-Δ) ps 1 u= 1 v α 1+ v β 1 in Ω,(-Δ) qs 2 u= 1 u α 2+ u β 2 in Ω, u, v= 0 in …
nonlinearities:(S)(-Δ) ps 1 u= 1 v α 1+ v β 1 in Ω,(-Δ) qs 2 u= 1 u α 2+ u β 2 in Ω, u, v= 0 in …
Multiple positive solutions for a nonlocal PDE with critical Sobolev-Hardy and singular nonlinearities via perturbation method
A Daoues, A Hammami, K Saoudi - Fractional Calculus and Applied …, 2020 - degruyter.com
In this paper we investigate the following nonlocal problem with singular term and critical
Hardy-Sobolev exponent (P)(− Δ) su= λ u γ+| u| 2 α∗− 2 u| x| α in Ω, u> 0 in Ω, u= 0 in RN∖ …
Hardy-Sobolev exponent (P)(− Δ) su= λ u γ+| u| 2 α∗− 2 u| x| α in Ω, u> 0 in Ω, u= 0 in RN∖ …
A nonlocal elliptic system with nonlinear singular terms
K Biroud - Complex Variables and Elliptic Equations, 2024 - Taylor & Francis
In this work we deal with the nonlocal elliptic system:(S){(− Δ) s 1 u= θ vqu 1− θ in Ω,(− Δ) s 2
v= qvq− 1 u θ in Ω, u= v= 0 in RN∖ Ω, u, v> 0 in Ω, where Ω⊂ RN is a bounded regular …
v= qvq− 1 u θ in Ω, u= v= 0 in RN∖ Ω, u, v> 0 in Ω, where Ω⊂ RN is a bounded regular …
Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity
We prove the existence of infinitely many nonnegative solutions to the following nonlocal
elliptic partial differential equation involving singularity (− Δ) p (⋅) su= λ| u| γ (x)− 1 u+ f (x, u) …
elliptic partial differential equation involving singularity (− Δ) p (⋅) su= λ| u| γ (x)− 1 u+ f (x, u) …