Results 81 to 90 of about 2,557 (109)

Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth

open access: yesAdvances in Nonlinear Analysis
In this paper, we are concerned with the following fractional relativistic Schrödinger equation with critical growth: (−Δ+m2)su+V(εx)u=f(u)+u2s*−1inRN,u∈Hs(RN),u>0inRN,\left\{\begin{array}{ll}{\left(-\Delta +{m}^{2})}^{s}u+V\left(\varepsilon x)u=f\left(u)
Ambrosio Vincenzo
doaj   +1 more source

Singular limiting solutions for elliptic problem involving exponentially dominated nonlinearity and convection term

open access: yesBoundary Value Problems, 2011
Given Ω bounded open regular set of ℝ2 and x1, x2, ..., xm ∈ Ω, we give a sufficient condition for the problem to have a positive weak solution in Ω with u = 0 on ∂Ω, which is singular at each xi as the parameters &#
Abid Imed   +3 more
doaj  

Properties of minimizers for L2-subcritical Kirchhoff energy functionals

open access: yesAdvances in Nonlinear Analysis
We consider the properties of minimizers for the following constraint minimization problem: i(c)≔infu∈S1Ic(u),i\left(c):= \mathop{\inf }\limits_{u\in {S}_{1}}{I}_{c}\left(u), where the L2{L}^{2}-unite sphere S1={u∈H1(RN)∣∫RNV(x)u2dxc˜pp∈0,4Nc\gt ...
Guo Helin, Zhao Lingling
doaj   +1 more source

Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth

open access: yesOpen Mathematics, 2014
Zhang Hui   +3 more
doaj   +1 more source

On phase segregation in nonlocal two-particle Hartree systems

open access: yesOpen Mathematics, 2009
Aschbacher Walter, Squassina Marco
doaj   +1 more source

Conformal Geometry and the Composite Membrane Problem

open access: yesAnalysis and Geometry in Metric Spaces, 2013
Chanillo Sagun
doaj   +1 more source
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Classification of solutions of some nonlinear elliptic equations

Duke Mathematical Journal, 1991
Wenxiong Chen, Congming Li
exaly  

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