Auxiliary principle for generalized strongly nonlinear mixed variational-like inequalities.
2-local Lie isomorphisms of operator algebras on Banach spaces
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
We study the existence of positive solutions of the quasilinear problem ⎧ , , ⎨ ⎩ u(x) > 0, , where is the N-Laplacian operator, is a continuous potential, is a continuous function. The main result follows from an iterative method based on Mountain Pass techniques.
Free vibration analysis of rectangular orthotropic membranes in large deflection.
The nonlinear instability modes of dished shallow shells under circular line loads.
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