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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
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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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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 +9 more
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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]