Results 81 to 90 of about 33,794 (182)

Existence and concentration of solutions for a p-laplace equation with potentials in R^N

Electronic Journal of Differential Equations, 2010
We study the p-Laplace equation with Potentials $$ -hbox{div}(| abla u|^{p-2} abla u)+lambda V(x)|u|^{p-2}u=|u|^{q-2}u, $$ $uin W^{1,p}(mathbb{R}^N)$, $xin mathbb{R}^N$ where $2leq p$, $p<q<p^{*}$. Using a concentration-compactness principle
Mingzhu Wu, Zuodong Yang
doaj  

Concentration-compactness principle for generalized Moser-Trudinger inequalities: characterization of the non-compactness in the radial case

Mathematical Inequalities & Applications, 2014
Let B(R)⊂Rn , n 2 , be an open ball. By a result from [1], the Moser functional with the borderline exponent from the Moser inequality fails to be sequentially weakly continuous on the set of radial functions from the unit ball in W 1,n 0 (B(R)) only in the exceptional case of sequences acting like a concentrating Moser sequence (in particular, these ...
openaire   +1 more source

Existence of positive solutions for Brezis-Nirenberg type problems involving an inverse operator

Electronic Journal of Differential Equations, 2021
Pablo Alvarez-Caudevilla, Eduardo Colorado, Alejandro Ortega   +2 more
doaj  

Existence of normalized solutions to Kirchhoff-Boussinesq equations in the subcritical and supercritical regime

Electronic Journal of Differential Equations
In this article we study the existence of normalized solutions to the Kirchhoff-Boussinesq equation under the mass constraint $\|u\|_{2}=c$. In the $L^{2}$-subcritical regime, we apply Ekeland's variational principle and concentration compactness method ...
Chunling Tao, Lintao Liu, Kaimin Teng
doaj  

Solitary waves for a coupled nonlinear Schrodinger system with dispersion management

Electronic Journal of Differential Equations, 2010
We consider a system of coupled nonlinear Schrodinger equations with periodically varying dispersion coefficient that arises in the context of fiber-optics communication.
Panayotis Panayotaros, Mauricio Sepulveda, Octavio Vera   +2 more
doaj  

Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains

Electronic Journal of Differential Equations, 2005
In this paper we study the existence of positive solutions for the problem $$ -Delta_{p}u=u^{p^{*}-1} quad hbox{in } Omega quad hbox{and} quad u=0 quad hbox{on } partial{Omega} $$ where $Omega$ is a perturbed annular domain (see definition in the ...
Claudianor O. Alves
doaj  

Ground states for the fractional Schrodinger equation

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of ground state solutions for the nonlinear Schrodinger equation with fractional Laplacian $$ (-Delta )^alpha u+ V(x)u =lambda |u|^{p}uquadhbox{in $mathbb{R}^N$ for $alpha in (0,1)$}.
Binhua Feng
doaj  

Ground state solutions for Choquard type equations with a singular potential

Electronic Journal of Differential Equations, 2017
This article concerns the Choquard type equation $$ -\Delta u+V(x)u=\Big(\int_{\mathbb{R}^N}\frac{|u(y)|^p}{|x-y|^{N-\alpha}}dy\Big) |u|^{p-2}u,\quad x\in \mathbb{R}^N, $$ where $N\geq3$, $\alpha\in ((N-4)_+,N)$, $2\leq p
Tao Wang
doaj  

Solutions of p(x)-Laplacian equations with critical exponent and perturbations in R^N

Electronic Journal of Differential Equations, 2012
Based on the theory of variable exponent Sobolev spaces, we study a class of $p(x)$-Laplacian equations in $mathbb{R}^{N}$ involving the critical exponent.
Xia Zhang, Yongqiang Fu
doaj  

Radar Target Detection Based on Linear Fusion of Two Features. [PDF]

Sensors (Basel)
Huang Y, Luan Y, Dong Y, Ding H.
europepmc   +1 more source