Results 61 to 69 of about 350 (69)

On the moving plane method for boundary blow-up solutions to semilinear elliptic equations

Advances in Nonlinear Analysis, 2018
We consider weak solutions to -Δ⁢u=f⁢(u){-\Delta u=f(u)} on Ω1∖Ω0{\Omega_{1}\setminus\Omega_{0}}, with u=c≥0{u=c\geq 0} in ∂⁡Ω1{\partial\Omega_{1}} and u=+∞{u=+\infty} on ∂⁡Ω0{\partial\Omega_{0}}, and we prove monotonicity properties of the solutions via
Canino Annamaria, Sciunzi Berardino, Trombetta Alessandro   +2 more
doaj   +1 more source

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
doaj   +1 more source

Liouville's type results for singular anisotropic operators

Analysis and Geometry in Metric Spaces
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo, Bashayer Majrashi, Vincenzo Vespri   +2 more
doaj   +1 more source

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
doaj   +1 more source

On Lane–Emden Systems with Singular Nonlinearities and Applications to MEMS

Advanced Nonlinear Studies, 2018
In this paper we analyze the Lane–Emden ...
do Ó João Marcos, Clemente Rodrigo
doaj   +1 more source

Ireneo Peral: Forty Years as Mentor

Advanced Nonlinear Studies, 2017
In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene, Aguilar Juan Antonio, Barrios Begoña, Colorado Eduardo, Charro Fernando, García Azorero Jesús, Medina Maria, Merchán Susana, Montoro Luigi, Primo Ana   +9 more
doaj   +1 more source

Existence, boundary behavior and asymptotic behavior of solutions to singular elliptic boundary-value problems

Electronic Journal of Differential Equations, 2016
In this article, we consider the singular elliptic boundary-value problem $$ -\Delta u+f(u)-u^{-\gamma} =\lambda u \text{ in } \Omega,\quad u>0\text{ in } \Omega,\quad u=0 \text{ on } \partial\Omega. $$ Using the upper-lower solution method, we show the
Ge Gao, Baoqiang Yan
doaj  

The Effect of Gender in the Publication Patterns in Mathematics. [PDF]

PLoS One, 2016
Mihaljević-Brandt H, Santamaría L, Tullney M.   +2 more
europepmc   +1 more source

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On some singular nonlinear problems for monotone elliptic operators

Rendiconti Lincei - Matematica e Applicazioni, 2019
The goal of this note is to study some class of problems associated to nonlinear operators of the p-Laplacian type with source term having a singularity at the origin. AMS Subject Classification: 35J15, 35J25, 35J60, 35J65, 35J75, 35J92.
M. Chipot
semanticscholar   +1 more source