Results 41 to 50 of about 16,071,502 (380)
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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A class of semipositone p-Laplacian problems with a critical growth reaction term [PDF]
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]
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
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INFINITELY MANY SOLUTIONS FOR A ZERO MASS SCHRÖDINGER-POISSON-SLATER PROBLEM WITH CRITICAL GROWTH
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
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
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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]
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
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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
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New multiple positive solutions for elliptic equations with singularity and critical growth
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
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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

