In this paper it is shown that the Dirichlet problempu = f(u); u @B = 0 in a ball B ⊂ R N , loses the property of uniqueness of positive solutions u under the sole condition maxB u → u0 as → + ∞, with u0 ¿ 0 certain preÿxed zero of f, provided p ¿ k + 1; k being the order of u0, what is in contrast
Multiplicity of periodic solutions to birkhoff’s billiard ball problem
✍ Scribed by Min Ji
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 220 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1001-6538
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The existence of n and infinitely many positive solutions is proved for the nonlinear fourth-order periodic boundary value problem where n is an arbitrary natural number and > -2 2 , 0 < < ( 1 2 + 2 2 ) 2 , / 4 + / 2 + 1 > 0. This kind of fourth-order boundary value problems usually describes the e
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