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2-local Lie isomorphisms of operator algebras on Banach spaces

Lin Chen; Lizhong Huang; Fangyan Lu — 2015

Studia Mathematica

Let X and Y be complex Banach spaces of dimension greater than 2. We show that every 2-local Lie isomorphism ϕ of B(X) onto B(Y) has the form ϕ = φ + τ, where φ is an isomorphism or the negative of an anti-isomorphism of B(X) onto B(Y), and τ is a homogeneous map from B(X) into ℂI vanishing on all finite sums of commutators.

Positive solution for a quasilinear equation with critical growth in $ℝ^{N}$

Lin Chen; Caisheng Chen; Zonghu Xiu — 2016

Annales Polonici Mathematici

We study the existence of positive solutions of the quasilinear problem ⎧ $- Δ_{N} u + {V (x) | u |}^{N - 2} u = {f (u, | \nabla u |}^{N - 2} \nabla u)$ , $x \in ℝ^{N}$ , ⎨ ⎩ u(x) > 0, $x \in ℝ^{N}$ , where $Δ_{N} u = {d i v (| \nabla u |}^{N - 2} \nabla u)$ is the N-Laplacian operator, $V : ℝ^{N} \to ℝ$ is a continuous potential, $f : ℝ \times ℝ^{N} \to ℝ$ is a continuous function. The main result follows from an iterative method based on Mountain Pass techniques.

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2-local Lie isomorphisms of operator algebras on Banach spaces

Positive solution for a quasilinear equation with critical growth in $ℝ^{N}$

The nonlinear instability modes of dished shallow shells under circular line loads.

Auxiliary principle for generalized strongly nonlinear mixed variational-like inequalities.

Free vibration analysis of rectangular orthotropic membranes in large deflection.

Advanced Search

Formula preview

Currently displaying 1 – 5 of 5

2-local Lie isomorphisms of operator algebras on Banach spaces

Positive solution for a quasilinear equation with critical growth in ℝ N

The nonlinear instability modes of dished shallow shells under circular line loads.

Auxiliary principle for generalized strongly nonlinear mixed variational-like inequalities.

Free vibration analysis of rectangular orthotropic membranes in large deflection.

Positive solution for a quasilinear equation with critical growth in $ℝ^{N}$