Results 11 to 20 of about 526 (85)
Advances in Nonlinear Analysis, 2023 We establish fine bounds for best constants of the fractional subcritical Sobolev embeddings W0s,p(Ω)↪Lq(Ω),{W}_{0}^{s,p}(\Omega )\hspace{0.33em}\hookrightarrow \hspace{0.33em}{L}^{q}(\Omega ), where N≥1N\ge 1 ...
Cassani Daniele, Du Lele
doaj +1 more source
Pseudo almost periodic weak solutions of a semilinear elliptic equation
Advances in Differential Equations, 2014 In this paper, pseudo almost periodic functions on RN, with N an integer larger than 1, are introduced and some basic properties of them are studied. As an application, we investigate the pseudo almost periodicity of a weak solution of the semilinear ...
Desheng Ji, Chuanyi Zhang
semanticscholar +2 more sources
Advances in Nonlinear Analysis, 2022 In this paper we study the existence and the nonexistence of solutions to an inhomogeneous non-linear elliptic problem (P)−Δu+u=F(u)+κμ in RN, u>0 in RN, u(x)→0 as |x|→∞,- \Delta u + u = F(u) + \kappa \mu \quad {\kern 1pt} {\rm in}{\kern 1pt ...
Ishige Kazuhiro +2 more
doaj +1 more source
Advanced 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
Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity
Advances 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
Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian [PDF]
, 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
A note on Serrin's overdetermined problem [PDF]
, 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
Advances 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
Advances 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
Infant 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