Concentration-compactness principle

Results 71 to 80 of about 4,030 (152)

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

A concentration-compactness principle for perturbed isoperimetric problems with general assumptions

Derived from the concentration-compactness principle, the concept of generalized minimizer can be used to define generalized solutions of variational problems which may have components ``infinitely'' distant from each other. In this article and under mild assumptions we establish existence and density estimates of generalized minimizers of perturbed ...
openaire +2 more sources

The Lie Group Basis of Neuronal Membrane Architecture: Why the Hodgkin-Huxley Equations Take Their Form. [PDF]

Membranes (Basel)
Melendy RF, Blue DH.
europepmc +1 more source

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

A novel superpixel based Vision Transformer for improving interpretability in glaucoma screening. [PDF]