Results 51 to 60 of about 110 (76)

Blow-up analysis for parabolic equations and systems via an auxiliary functional approach

Advances in Nonlinear Analysis
This paper considers the finite-time blow-up of solutions to semilinear parabolic equations and systems. Using a direct functional method, we first study single equations with source terms f(u) = u p and f(u) = u p + u q.
Chen Shaohua, Lawless Marcus, Lian Wei
doaj   +1 more source

Patterns of genetic and morphometric diversity in baobab (Adansonia digitata) populations across different climatic zones of Benin (West Africa). [PDF]

Ann Bot, 2006
Assogbadjo AE, Kyndt T, Sinsin B, Gheysen G, van Damme P.   +4 more
europepmc   +1 more source

High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

Advances in Nonlinear Analysis
This article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
doaj   +1 more source

Critical fractional Schrödinger-Poisson systems with lower perturbations: the existence and concentration behavior of ground state solutions

Advances in Nonlinear Analysis
In this article, we study the following fractional Schrödinger-Poisson system: ε2s(−Δ)su+V(x)u+ϕu=f(u)+∣u∣2s*−2u,inR3,ε2t(−Δ)tϕ=u2,inR3,\left\{\begin{array}{ll}{\varepsilon }^{2s}{\left(-\Delta )}^{s}u+V\left(x)u+\phi u=f\left(u)+{| u| }^{{2}_{s}^{* }-2 ...
Feng Shenghao, Chen Jianhua, Huang Xianjiu   +2 more
doaj   +1 more source

Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations

Advances in Nonlinear Analysis
This article is concerned with the existence of multiple normalized solutions for a class of Choquard equations with a parametric perturbation −ε2Δu+V(x)u=λu+ε−α(Iα*F(u))f(u),x∈RN,∫RN∣u∣2dx=a2εN,\left\{\begin{array}{ll}-{\varepsilon }^{2}\Delta u+V\left ...
Wu Jinxia, He Xiaoming
doaj   +1 more source

Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations

Open Mathematics, 2011
Li Jing, Yin Jingxue, Jin Chunhua
doaj   +1 more source

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Concentrating solutions for a sub-critical sub-elliptic problem

Differential and Integral Equations, 2013
Angela Pistoia, Ali Maâlaoui
exaly  

Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in H1(T3)

Duke Mathematical Journal, 2011
Daniel Tataru, Sebastian Herr, Nikolay Tzvetkov   +2 more
exaly  

Some results on $p$-Laplace equations with a critical growth term

Differential and Integral Equations, 1998
Filippo Gazzola, Gianni Arioli
exaly  

Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type

Duke Mathematical Journal, 2001
Nicola Garofalo, Dimiter Vassilev
exaly