Results 41 to 50 of about 16,071,502 (380)

Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
doaj   +1 more source

A class of semipositone p-Laplacian problems with a critical growth reaction term [PDF]

open access: yesAdvances in Nonlinear Analysis, 2016
We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
K. Perera, R. Shivaji, Inbo Sim
semanticscholar   +1 more source

Akt1-Inhibitor of DNA binding2 is essential for growth cone formation and axon growth and promotes central nervous system axon regeneration. [PDF]

open access: yes, 2016
Mechanistic studies of axon growth during development are beneficial to the search for neuron-intrinsic regulators of axon regeneration. Here, we discovered that, in the developing neuron from rat, Akt signaling regulates axon growth and growth cone ...
Ahn, Jee-Yin   +9 more
core   +2 more sources

INFINITELY MANY SOLUTIONS FOR A ZERO MASS SCHRÖDINGER-POISSON-SLATER PROBLEM WITH CRITICAL GROWTH

open access: yesThe Journal of Applied Analysis and Computation, 2019
In this paper, we are concerned with the following SchrödingerPoisson-Slater problem with critical growth: −∆u+ (u ? 1 |4πx| )u = μk(x)|u| u+ |u|u in R. We use a measure representation concentration-compactness principle of Lions to prove that the (PS)c ...
Liu Yang, Zhisu Liu
semanticscholar   +1 more source

Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation

open access: yesNonlinear Analysis, 2021
In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.
Lin Li, Donal O’Regan
doaj   +1 more source

A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space

open access: yesTopological Methods in Nonlinear Analysis, 2019
We establish a version of the Trudinger-Moser inequality involving unbounded or decaying radial weights in weighted Sobolev spaces. In the light of this inequality and using a minimax procedure we also study existence of solutions for a class of ...
F. Albuquerque, S. Aouaoui
semanticscholar   +1 more source

Ground state solutions for a fractional Schrödinger equation with critical growth [PDF]

open access: yesAsymptotic Analysis, 2016
In this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation ( − Δ ) s u + V ( x ) u = f ( u ) in R N , where s ∈ ( 0 , 1 ) , N > 2 s , ( − Δ ) s is the fractional Laplacian, V : R N →
V. Ambrosio, G. Figueiredo
semanticscholar   +1 more source

Normalized ground-states for the Sobolev critical Kirchhoff equation with at least mass critical growth

open access: yesOpen Mathematics
In this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
doaj   +1 more source

New multiple positive solutions for elliptic equations with singularity and critical growth

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
In this note, the existence of multiple positive solutions is established for a semilinear elliptic equation $ -\Delta u=\frac{\lambda}{u^\gamma}+u^{2^*-1},~x\in\Omega,~u=0, x\in\partial\Omega$, where $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$
Hongmin Suo, Chunyu Lei, Jia-Feng Liao
doaj   +1 more source

The MedSupport Multilevel Intervention to Enhance Support for Pediatric Medication Adherence: Development and Feasibility Testing

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction We developed MedSupport, a multilevel medication adherence intervention designed to address root barriers to medication adherence. This study sought to explore the feasibility and acceptability of the MedSupport intervention strategies to support a future full‐scale randomized controlled trial.
Elizabeth G. Bouchard   +8 more
wiley   +1 more source

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