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The Global Solution Set for a Class of Semilinear Problems

✍ Scribed by Philip Korman

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
224 KB
Volume
226
Category
Article
ISSN
0022-247X

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✦ Synopsis

We use bifurcation theory to study positive, negative, and sign-changing solutions for several classes of boundary value problems, depending on a real parameter . We show the existence of infinitely many points of pitchfork bifurcation, and study global properties of the solution curves.

πŸ“œ SIMILAR VOLUMES

Existence and Multiplicity of Solutions
Existence and Multiplicity of Solutions for a Class of Semilinear Elliptic Equations
✍ Shui-Qiang Liu; Chun-Lei Tang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 92 KB

The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.

Life Span of Solutions for a Semilinear
Life Span of Solutions for a Semilinear Parabolic Problem with Small Diffusion
✍ Noriko Mizoguchi; Eiji Yanagida πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

where p > 1, Ξ΅ > 0, is a bounded domain in R N , and Ο• is a continuous function on . It is shown that the blowup time T Ξ΅ of the solution of this problem satisfies T Ξ΅ β†’ 1 p-1 Ο• 1-p ∞ as Ξ΅ β†’ 0. Moreover, when the maximum of Ο• x is attained at one point, we determine the higher order term of T Ξ΅ whic