Results 41 to 50 of about 76 (75)

An elliptic problem involving critical Choquard and singular discontinuous nonlinearity

Advanced Nonlinear Studies
The present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand, Giacomoni Jacques, Sreenadh Konijeti   +2 more
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Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

Advances in Nonlinear Analysis, 2018
We study the semilinear elliptic ...
Ghergu Marius, Kim Sunghan, Shahgholian Henrik   +2 more
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
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Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity

Advances in Nonlinear Analysis, 2017
We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
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Nehari manifold approach to singular fourth-order Leray–Lions equations with no-flux boundary conditions [PDF]

Arab Journal of Mathematical Sciences
PurposeIn this paper, we study a fourth-order singular problems of type Leray–Lions with singular weight and with no-flux boundary conditions.Design/methodology/approachWe use the Nehari manifold to establish our result for our problem.FindingsWe prove ...
Ibrahim Chamlal, Mohammed Barghouthe, Mohamed Talbi, Najib Tsouli   +3 more
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Analysis of positive solutions for classes of quasilinear singular problems on exterior domains

Advances in Nonlinear Analysis, 2017
We consider the ...
Chhetri Maya, Drábek Pavel, Shivaji Ratnasingham   +2 more
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Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space

Advanced Nonlinear Studies, 2018
We consider the Hardy–Schrödinger operator Lγ:=-Δ𝔹n-γ⁢V2{L_{\gamma}:=-\Delta_{\mathbb{B}^{n}}-\gamma{V_{2}}} on the Poincaré ball model of the hyperbolic space 𝔹n{\mathbb{B}^{n}} (n≥3{n\geq 3}).
Chan Hardy, Ghoussoub Nassif, Mazumdar Saikat, Shakerian Shaya, de Oliveira Faria Luiz Fernando   +4 more
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On singular double phase problem with variable exponents and convolution term

Open Mathematics
In this article, we consider the following singular double phase problem with variable exponents and convolution term of the form: −Tp(x),q(x)α(x)(u)=λs(x)u−γ(x)+∫Ω|u(x)|h(x)|x−y|μ(x,y)|u(y)|h(x)−2u(y)inΩ,u=0on∂Ω, $$\begin{cases}-{\mathcal{T}}_{p\left(x ...
He Rui, Liang Sihua
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Multiplicity of Solutions to Elliptic Problems Involving the 1-Laplacian with a Critical Gradient Term

Advanced Nonlinear Studies, 2017
In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene, Dall’Aglio Andrea, Segura de León Sergio   +2 more
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Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
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