W1,p estimates in homogenization of elliptic systems with measurable coefficients
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600055
Abstract: We prove an optimal W1,p theorem for a weak solution of an elliptic system in divergence form with measurable coefficients in a homogenization problem. Our theorem is sharp with respect to the assumption on the… read more here.
Keywords: homogenization elliptic; estimates homogenization; measurable coefficients; elliptic systems ... See more keywords
Multiple positive radial solutions for Neumann elliptic systems with gradient dependence
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.5143
Abstract: We provide new results on the existence, non-existence and multiplicity of non-negative radial solutions for semilinear elliptic systems with Neumann boundary conditions on an annulus. Our approach is topological and relies on the classical fixed… read more here.
Keywords: neumann elliptic; solutions neumann; multiple positive; positive radial ... See more keywords
Some New Results on Subquadratic Lane–Emden Elliptic Systems
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DOI: 10.1007/s00009-016-0818-1
Abstract: We deal with a nonlinear elliptic weighted system of Lane–Emden type in $$\mathbb R^N$$RN, $$N \ge 3$$N≥3, by exploiting its equivalence with a fourth-order quasilinear elliptic equation involving a suitable “sublinear” term. By overcoming the… read more here.
Keywords: emden elliptic; subquadratic lane; new results; lane emden ... See more keywords
Multiple Solutions for Nonvariational Quasilinear Elliptic Systems
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DOI: 10.1007/s00009-018-1133-9
Abstract: We establish the existence of at least three nontrivial solutions for a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. Two of these solutions are of opposite constant sign and the third one is… read more here.
Keywords: solutions nonvariational; nonvariational quasilinear; elliptic systems; multiple solutions ... See more keywords
The p-ellipticity condition for second order elliptic systems and applications to the Lamé and homogenization problems
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DOI: 10.1016/j.jde.2021.08.036
Abstract: The notion of $p$-ellipticity has recently played a significant role in improving our understanding of issues of solvability of boundary value problems for scalar complex valued elliptic PDEs. In particular, the presence of $p$-ellipticity ensures… read more here.
Keywords: ellipticity; second order; order elliptic; homogenization ... See more keywords
Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems
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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
Smallness and cancellation in some elliptic systems with measure data
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.047
Abstract: Abstract In a bounded open subset Ω ⊂ R n , we study Dirichlet problems with elliptic systems, involving a finite Radon measure μ on R n with values into R N , defined by… read more here.
Keywords: measure; systems measure; smallness cancellation; elliptic systems ... See more keywords
Nonlinear fractional elliptic systems with boundary measure data: Existence and a priori estimates
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.03.034
Abstract: Abstract We are concerned with positive solutions of the fractional elliptic system ( E ) { ( − Δ ) s u = f ( v ) in Ω , ( − Δ ) s… read more here.
Keywords: positive solutions; nonlinear fractional; elliptic systems; existence ... See more keywords
On the classification of positive supersolutions of elliptic systems involving the advection terms
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.06.009
Abstract: Abstract In this paper, we establish some Liouville type theorems for positive classical supersolutions in the whole space R N of the elliptic equation − Δ u + a ⋅ ∇ u = u p… read more here.
Keywords: supersolutions elliptic; involving advection; positive supersolutions; elliptic systems ... See more keywords
Double critical surfaces of singular quasilinear elliptic systems
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DOI: 10.1016/j.jmaa.2019.123607
Abstract: Abstract In this paper, we mainly study the asymptotic behaviors at the origin and infinity of positive weak solutions to quasilinear elliptic systems in R N , which involve strongly–coupled critical nonlinearities and different Hardy–type… read more here.
Keywords: singular quasilinear; critical surfaces; elliptic systems; double critical ... See more keywords
Existence of weak solutions for quasilinear elliptic systems in Orlicz spaces
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DOI: 10.1080/00036811.2019.1680829
Abstract: ABSTRACTThis article deals with the existence of solutions for a quasilinear elliptic system in divergence form: −divσ(x,u,Du)=f in Ω, with boundary condition u(x)=0 on ∂Ω, where u:Ω→Rm and Ω⊂Rn is... read more here.
Keywords: existence weak; weak solutions; elliptic systems; systems orlicz ... See more keywords