Results 11 to 20 of about 367 (79)

A fractional Kirchhoff problem involving a singular term and a critical nonlinearity [PDF]

open access: yesAdvances in Nonlinear Analysis, 2017
In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
doaj   +2 more sources

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

open access: yesPLoS One, 2016
Despite the increasing number of women graduating in mathematics, a systemic gender imbalance persists and is signified by a pronounced gender gap in the distribution of active researchers and professors.
Mihaljević-Brandt H   +2 more
europepmc   +5 more sources

Some recent results on singular p-Laplacian equations

open access: yesDemonstratio Mathematica, 2022
A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto   +2 more
doaj   +1 more source

Dirichlet problems involving the Hardy-Leray operators with multiple polars

open access: yesAdvances in Nonlinear Analysis, 2023
Our aim of this article is to study qualitative properties of Dirichlet problems involving the Hardy-Leray operator ℒV≔−Δ+V{{\mathcal{ {\mathcal L} }}}_{V}:= -\Delta +V, where V(x)=∑i=1mμi∣x−Ai∣2V\left(x)={\sum }_{i=1}^{m}\frac{{\mu }_{i}}{{| x-{A}_{i}| }
Chen Huyuan, Chen Xiaowei
doaj   +1 more source

On singular elliptic equations with measure sources [PDF]

open access: yes, 2016
We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is $$\begin{cases} -\Delta u = \frac{f(x)}{u^{\gamma}} +\mu & \text{in}\ \Omega, u=0 &\text{on}\ \partial\Omega, u>0 &\text{on}\
Oliva, Francescantonio   +1 more
core   +2 more sources

Touchdown solutions in general MEMS models

open access: yesAdvances in Nonlinear Analysis, 2023
We study general problems modeling electrostatic microelectromechanical systems devices (Pλ )φ(r,−u′(r))=λ∫0rf(s)g(u(s))ds,r∈(0,1 ...
Clemente Rodrigo   +3 more
doaj   +1 more source

Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries [PDF]

open access: yes, 2018
In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of the ...
Arrieta, José M.   +2 more
core   +3 more sources

A functionally-analytic method for modelling axial-symmetric flows of ideal fluid

open access: yesDemonstratio Mathematica, 2019
We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a ...
Plaksa Sergiy A.
doaj   +1 more source

On the eigenvalues of Aharonov-Bohm operators with varying poles [PDF]

open access: yes, 2013
We consider a magnetic operator of Aharonov-Bohm type with Dirichlet boundary conditions in a planar domain. We analyse the behavior of its eigenvalues as the singular pole moves in the domain.
Bonnaillie-Noël, Virginie   +3 more
core   +3 more sources

Nonexistence of positive radial solutions for a problem with singular potential

open access: yesAdvances in Nonlinear Analysis, 2014
This article completes the picture in the study of positive radial solutions in the function space 𝒟1,2(ℝN)∩L2(ℝN,|x|-αdx)∩Lp(ℝN)${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\alpha } dx})\cap L^p({\mathbb {R}^N})}}$ for the ...
Catrina Florin
doaj   +1 more source

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