NONLINEAR ELLIPTIC EIGENVALUE PROBLEM

The solutions (λ, u(x, y)) of ∇ 2u = -f(u) in the rectangleD(δ) ≡ {(x, y)|0 < x Y < t, 0 < y < 1 + δ}which have u=0 on the boundary of D(δ) are considered in detail for the cases f(u)=sinh u and f(u)=u-u 3. The trivial solut...

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Bibliographic Details
Main Authors: Budden, P, Norbury, J
Format: Journal article
Language:English
Published: 1979