Results 61 to 70 of about 3,811 (89)

Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

open access: yes, 2012
In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity
Azzollini, Antonio   +2 more
core  

Is Reduced Visual Processing the Price of Language? [PDF]

open access: yesBrain Sci, 2022
Johansson C, Folgerø PO.
europepmc   +1 more source

Ground states for a fractional scalar field problem with critical growth

open access: yes, 2016
We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
Ambrosio, Vincenzo
core  

Multiplicity of solutions for elliptic boundary value problems

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation $-\Delta u+a(x)u=f(x,u)$ in a bounded domain of $\mathbb{R}^N$ $(N\geq 3)$ with the Dirichlet boundary conditions, where the primitive of the ...
Yiwei Ye
doaj  

Multiplicity results for the Yamabe problem on Sn. [PDF]

open access: yesProc Natl Acad Sci U S A, 2002
Ambrosetti A.
europepmc   +1 more source

On nodes and modes in resting state fMRI. [PDF]

open access: yesNeuroimage, 2014
Friston KJ   +4 more
europepmc   +1 more source

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