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Existence and Multiplicity of Solutions for a Class of Semilinear Elliptic Equations

โœ Scribed by Shui-Qiang Liu; Chun-Lei Tang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
92 KB
Volume
257
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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Existence and Multiplicity of Solutions of Semilinear Elliptic Equations
โœ Chun-Lei Tang; Xing-Ping Wu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

The existence and multiplicity results of solutions are obtained by the reduction method and the minimax methods for nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known results are generalized. แฎŠ 2001 Aca- demic Press

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## Dedicated to the memory of Leonid R. Volevich Let X = (X1, . . . , Xm) be an infinitely degenerate system of vector fields. We study the existence and regularity of multiple solutions of the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic operators associated with th