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Multiplicity of positive and nodal solutions for semilinear elliptic equations in infinite strips

โœ Scribed by Tsung-fang Wu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
786 KB
Volume
71
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Existence and Multiplicity of Solutions
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

Existence and Asymptotic-Behavior of Nod
โœ R. Kajikiya ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 533 KB

The elliptic equation \(\Delta u+f(u)=0\) in \(R^{n}\) is discussed in the case where \(f(u)=\) \(|u|^{n} \quad u(|u| \geqslant 1),=|u|^{4} \quad{ }^{1} u(|u|<1), 10\). It is further proved that for any \(k \geqslant 0\) there exist at least three radially symmetric solutions which have exactly \(k\

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.

The effect of domain shape on the number
โœ Tsung-fang Wu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 293 KB

In this paper, we study the effect of domain shape on the number of positive and nodal (sign-changing) solutions for a class of semilinear elliptic equations. We prove a semilinear elliptic equation in a domain โ„ฆ that contains m disjoint large enough balls has m 2 2-nodal solutions and m positive so