Using variational methods we study the existence and multiplicity of solutions of the Dirichlet problem for the equation p py2 ydiv a ูu ูu ูu s f x, u .
Existence and Uniqueness of Fast Decay Entire Solutions of Quasilinear Elliptic Equations
โ Scribed by Moxun Tang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 173 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that entire positive solutions exist for the semilinear elliptic system u = p x v ฮฑ , v = q x u ฮฒ on R N , N โฅ 3, for positive ฮฑ and ฮฒ, provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail
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
In this paper we establish criteria for the existence and uniqueness of contractive solutions K of the Riccati equation KBK+KA&DK&C=0 under the assumption that the spectra of A and D are disjoint.