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A semilinear beam equation with nonconstant loads

✍ Scribed by Q-Heung Choi; Tacksun Jung

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
626 KB
Volume
30
Category
Article
ISSN
0362-546X

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✦ Synopsis

We investigate multiplicity of soh~tio~ ~(5, t) for a piecewise linear ptxhsbation -(bu+ -au-) of the one-dimensional beam operator w + hz under Diricblet boundary condition on the interval (-3,s) and periodic codition on the varible t. Our cacern is to investigate multiplicity of solutions of the equation when the nonlmearity crosea finite eigenvahxs and the source term is genemted by two eigenftmctions.

πŸ“œ SIMILAR VOLUMES

Multiple existence of solutions for a se
Multiple existence of solutions for a semilinear elliptic problem with nonconstant coefficients
✍ Norimichi Hirano πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 350 KB

Let N 7, 2 \* =2N/(N -2) and βŠ‚ R N be a bounded domain with a smooth boundary j and a : -β†’ R is a continuous mapping. In this paper we consider the existence and multiplicity of positive solutions of Dirichlet boundary value problem of the form -%(a(y)%u) = |u| 2 \* -2 u, u ∈ H 1 0 ( ).