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Exact Multiplicity of Positive Solutions for a Class of Semilinear Problems

โœ Scribed by Tiancheng Ouyang; Junping Shi


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
554 KB
Volume
146
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES


Existence and Multiplicity of Solutions
โœ Shui-Qiang Liu; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

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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.