Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.044
Abstract: Abstract In this paper, we consider the following nonlinear coupled elliptic systems ( A e ) { − e 2 Δ u + u = μ 1 u 3 + β u v 2 in … read more here.
Keywords: segregated interior; number synchronized; nonlinear coupled; elliptic systems ... See more keywords
Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in Rd for d = 3,4
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123726
Abstract: Abstract We consider a system of coupled elliptic partial differential equations with critical growth in R d for d = 3 , 4 and study bifurcations of three families of radially symmetric, bounded solutions. We… read more here.
Keywords: system; critical growth; radially symmetric; three families ... See more keywords
Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-020-01384-7
Abstract: We study the existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a new… read more here.
Keywords: gradient nonlocal; exterior domains; depending gradient; elliptic systems ... See more keywords