Results 11 to 20 of about 516 (74)

A note on Serrin's overdetermined problem [PDF]

open access: yes, 2014
We consider the solution of the torsion problem $-\Delta u=1$ in $\Omega$ and $u=0$ on $\partial \Omega$. Serrin's celebrated symmetry theorem states that, if the normal derivative $u_\nu$ is constant on $\partial \Omega$, then $\Omega$ must be a ball ...
Ciraolo, Giulio, Magnanini, Rolando
core   +2 more sources

Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian [PDF]

open access: yes, 2013
Let $\Omega$ be a bounded open interval, and let $p>1$ and $q\in\left(0,p-1\right) $. Let $m\in L^{p^{\prime}}\left(\Omega\right) $ and $0\leq c\in L^{\infty}\left(\Omega\right) $.
Kaufmann, Uriel, Medri, Ivan
core   +2 more sources

Existence of multiple nontrivial solutions of the nonlinear Schrödinger-Korteweg-de Vries type system

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper we are concerned with the existence, nonexistence and bifurcation of nontrivial solution of the nonlinear Schrödinger-Korteweg-de Vries type system(NLS-NLS-KdV).
Geng Qiuping, Wang Jun, Yang Jing
doaj   +1 more source

Half-space Gaussian symmetrization: applications to semilinear elliptic problems

open access: yesAdvances in Nonlinear Analysis, 2021
We consider a class of semilinear equations with an absorption nonlinear zero order term of power type, where elliptic condition is given in terms of Gauss measure.
Díaz J. I., Feo F., Posteraro M. R.
doaj   +1 more source

Trauma, immigration, and sexual health among Latina women: Implications for maternal–child well‐being and reproductive justice

open access: yesInfant Mental Health Journal: Infancy and Early Childhood, Volume 40, Issue 5, Page 640-658, September/October 2019., 2019
ABSTRACT Latina immigrant women are vulnerable to traumatic stress and sexual health disparities. Without autonomy over their reproductive health and related decision‐making, reproductive justice is elusive. We analyzed behavioral health data from 175 Latina immigrant participants (M age = 35; range = 18–64) of the International Latino Research ...
Lisa R. Fortuna   +7 more
wiley   +1 more source

Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity

open access: yesAdvanced Nonlinear Studies, 2023
In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro   +2 more
doaj   +1 more source

Bubble concentration on spheres for supercritical elliptic problems [PDF]

open access: yes, 2013
We consider the supercritical Lane-Emden problem $$(P_\eps)\qquad -\Delta v= |v|^{p_\eps-1} v \ \hbox{in}\ \mathcal{A} ,\quad u=0\ \hbox{on}\ \partial\mathcal{A} $$ where $\mathcal A$ is an annulus in $\rr^{2m},$ $m\ge2$ and $p_\eps={(m+1)+2\over(m+1)
A Bahri   +15 more
core   +1 more source

Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2023
In the present article, we are concerned with the following problem: vt=Δv+∣x∣βev,x∈RN,t>0,v(x,0)=v0(x),x∈RN,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{v}_{t}=\Delta v+| x{| }^{\beta }{e}^{v},\hspace{1.0em}& x\in {{\mathbb{R}}}^{N},\hspace{0.
Gao Dongmei, Wang Jun, Wang Xuan
doaj   +1 more source

Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four

open access: yesAdvances in Nonlinear Analysis, 2017
We extend Chen, Wei and Yan’s constructions of families of solutions with unbounded energies [5] to the case of cubic nonlinear Schrödinger equations in the optimal dimension four.
Vétois Jérôme, Wang Shaodong
doaj   +1 more source

Nonexistence Results for Semilinear Equations in Carnot Groups

open access: yesAnalysis and Geometry in Metric Spaces, 2013
In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
doaj   +1 more source

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