Multiplicity of positive and nodal solutions for semilinear elliptic equations in infinite strips
โ 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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๐ SIMILAR VOLUMES
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. แฎ 2001 Aca- demic Press
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\
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.
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 โฆ that contains m disjoint large enough balls has m 2 2-nodal solutions and m positive so